BIMSA > Piotr Chrusciel
Professor Piotr Chrusciel

Group: General Relativity and Partial Differential Equations

Office: A3-1a-201

Email: piotr@bimsa.cn

Research Field: General Relativity and Nonlinear PDE

Education Experience

  • - 1986      Polish Academy of Sciences      Physics      Ph.D
  • - 1980      Warsaw University      Physics      M.Sc.
  • - 1975      Collége Rousseau, Geneva, Switzerland      Certificat de Maturité

Work Experience

  • 1986 - 1996      Polish Academy of Sciences      Senior Research Associate
  • 2010 - 2025      University of Vienna      Professor of Gravitational Physics
  • 2006 - 2010      University of Oxford      Professor of Mathematics
  • 1994 - 2010      Université de Tours, France      Professor of Mathematics

Honors and Awards

  • 2007      General Relativity and Gravitation Conference 18, Sydney, member of the scientific committee
  • 2006      Research Fellow, Albert Einstein Institut, Golm
  • 2005      Clare Hall College, Cambridge, Visiting Fellow      Life Member since January 2006
  • 2005      EPSRC Fellowship, Newton Institute for Mathematical Sciences, Cambridge
  • 2004      Elected to the International Committee on General Relativity and Gravitation      2004-2013
  • 2004      General Relativity and Gravitation Conference 17, Dublin, plenary speaker
  • 2003      Prix Plumey de l'Académie des Sciences de Paris
  • 1999      Fellow of the Institute of Physics, London
  • 1998      Humboldt Fellowship, Albert Einstein Institute, Potsdam
  • 1992      Humboldt Fellowship, Max Planck Institut für Astrophysik, Garching      1992-1993
  • 1991      Australian Research Council Senior Research Associate, Canberra
  • 1984      French Government Scholarship, Université Paris VI

Publication

  • [1] PT Chrusciel, JL Costa, M Heusler, Living Rev. Rel. 15, 7 (2012), arXiv preprint arXiv:1205.6112 (2054)
  • [2] E Steininger, T Mieling, PT Chruściel, Elastically induced phase-shift and birefringence in optical fibers, arXiv preprint arXiv:2502.07099 (2025)
  • [3] PT Chruściel, W Cong, F Gray, Kerr-AdS type higher dimensional black holes with non-spherical cross-sections of horizons, preprint (2025)
  • [4] PT Chruściel, On Yvonne, Comptes Rendus. Mécanique, 353, 411-414 (2025)
  • [5] H Barzegar, PT Chruściel, E Steininger, On elastic deformations of cylindrical bodies under the influence of the gravitational field, Open Research Europe, 4 (2024)
  • [6] E Polini, D Macri, X Yin, E Oelker, P Chruściel, G Dvali, C Hilweg et al., Large-scale fiber interferometry to measure the gravitationally induced phase shift on entangled photons, Quantum, 2 (2024)
  • [7] PT Chruściel, W Cong, T Quéau, R Wutte, Cauchy problems for Einstein equations in three-dimensional spacetimes, Preprint (2024)
  • [8] PT Chruściel, W Cong, F Gray, Characteristic Gluing with : III. High-differentiability nonlinear gluing, arXiv preprint arXiv:2407.03903 (2024)
  • [9] PT Chruściel, R Wutte, Gluing-at-infinity of two-dimensional asymptotically locally hyperbolic manifolds, arXiv preprint arXiv:2401.04048 (2024)
  • [10] PT Chruściel, A Cogo, A Nützi, A Bogovski\v {i}-type operator for Corvino-Schoen hyperbolic gluing, arXiv preprint arXiv:2409.07502 (2024)
  • [11] W Cong, PT Chruściel, F Gray, Characteristic Gluing with : II. Linearised equations in higher dimensions, Preprint (2024)
  • [12] S Borghini, PT Chruściel, L Mazzieri, On the uniqueness of Schwarzschild–de Sitter spacetime, Archive for Rational Mechanics and Analysis, 247(2) (2023)
  • [13] PT Chruściel, W Cong, Gluing variations, Classical and Quantum Gravity, 40(16) (2023)
  • [14] PT Chrusciel, RT Wafo, F Gray, The" neighborhood theorem" for the general relativistic characteristic Cauchy problem in higher dimension, arXiv preprint arXiv:2305.07306 (2023)
  • [15] PT Chruściel, Remarks on stationary vacuum black holes, arXiv preprint arXiv:2305.07329 (2023)
  • [16] F Steininger, TB Mieling, PT Chruściel, No Proca photons, Physical Review D, 107(5) (2023)
  • [17] PT Chruściel, T Smołka, Hamiltonian charges on light cones for linear field theories on (A) dS backgrounds, Journal of Mathematical Physics, 64(10) (2023)
  • [18] PT Chruściel, M Mars, On staticity of bifurcate Killing horizons, Classical and Quantum Gravity, 40(22) (2023)
  • [19] F Steininger, PT Chruściel, The Cauchy problem for the Proca equation in gravitating dielectric media, Journal of Mathematical Physics, 64(7) (2023)
  • [20] PT Chruściel, E Delay, On asymptotically locally hyperbolic metrics with negative mass, SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 19 (2023)
  • [21] PT Chruściel, W Cong, Characteristic Gluing with 1. Linearised Einstein equations on four-dimensional spacetimes, preprint (2022)
  • [22] P Cameron, PT Chruściel, Asymptotic flatness in higher dimensions, Journal of Mathematical Physics, 63(3) (2022)
  • [23] PT Chruściel, GJ Galloway, Maximal hypersurfaces in asymptotically Anti-de Sitter spacetime, arXiv preprint arXiv:2208.09893 (2022)
  • [24] PT Chruściel, M Mars, Analyticity of stationary spacetimes from maximal hypersurfaces, arXiv preprint arXiv:2212.11798 (2022)
  • [25] PT Chruściel, SJ Hoque, M Maliborski, T Smołka, On the canonical energy of weak gravitational fields with a cosmological constant, European Physical Journal C, 81(8) (2021)
  • [26] PT Chruściel, SJ Hoque, T Smołka, Energy of weak gravitational waves in spacetimes with a positive cosmological constant, Physical Review D, 103(6) (2021)
  • [27] PT Chruściel, GJ Galloway, Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary, arXiv preprint arXiv:2107.05603 (2021)
  • [28] PT Chruściel, SJ Szybka, On the lag between deaths and infections in the first phase of the Covid-19 pandemic, medRxiv (2021)
  • [29] TB Mieling, PT Chruściel, S Palenta, The electromagnetic field in gravitational wave interferometers, Classical and Quantum Gravity, 38(21) (2021)
  • [30] PT Chrusciel, Quo Vadis, Mathematical General Relativity?, arXiv preprint arXiv:2112.02126 (2021)
  • [31] PT Chruściel, E Delay, R Wutte, Hyperbolic energy and Maskit gluings, arXiv preprint arXiv:2112.00095 (2021)
  • [32] PT Chrusciel, Hyperbolic positive energy theorems, arXiv preprint arXiv:2112.01364 (2021)
  • [33] PT Chrusciel, SJ Hoque, M Maliborski, T Smolka, On the canonical energy of weak gravitational fields with a cosmological constant [Formula omitted]., The European Physical Journal C-Particles and Fields, 81(8) (2021)
  • [34] E Delay, PT Chruściel, On Carlotto--Schoen-type scalar-curvature gluings, Bulletin de la société mathématique de France, 149(4), 613-640 (2021)
  • [35] PT Chruściel, Geometry of black holes, Oxford University Press (2020)
  • [36] PT Chruściel, Elements of general relativity, Springer Nature (2020)
  • [37] H Barzegar, PT Chruściel, M Hörzinger, M Maliborski, L Nguyen, Remarks on the energy of asymptotically Horowitz-Myers metrics, Physical Review D, 101(2) (2020)
  • [38] R Beig, PT Chruściel, On linearised vacuum constraint equations on Einstein manifolds, Classical and Quantum Gravity, 37(21) (2020)
  • [39] PT Chruściel, M Maliborski, N Yunes, Structure of the singular ring in Kerr-like metrics, Physical Review D, 101(10) (2020)
  • [40] PT Chruściel, GJ Galloway, Y Potaux, Uniqueness and energy bounds for static AdS metrics, Physical Review D, 101(6) (2020)
  • [41] PT Chruściel, SJ Szybka, Universal properties of the dynamics of the Covid-19 pandemic, medRxiv (2020)
  • [42] PT Chruściel, SJ Szybka, A phenomenological algorithm for short-range predictions of the Covid-19 pandemic 2020, medRxiv (2020)
  • [43] L Barack, V Cardoso, S Nissanke, TP Sotiriou, A Askar, C Belczynski et al., Black holes, gravitational waves and fundamental physics: a roadmap, Classical and quantum gravity, 36(14) (2019)
  • [44] PT Chruściel, E Delay, The hyperbolic positive energy theorem, arXiv preprint arXiv:1901.05263 (2019)
  • [45] PT Chrusciel, Anti-gravity à la Carlotto-Schoen (d'après Carlotto et Schoen), Astérisque, 407(407), 1-26 (2019)
  • [46] PT Chruściel, GJ Galloway, Roads to topological censorship, arXiv preprint arXiv:1906.02151 (2019)
  • [47] PT Chruściel, PT Chruściel, Curved Spacetime, Elements of General Relativity, 37-49 (2019)
  • [48] PT Chruściel, PT Chruściel, Introduction to Tensor Calculus and Riemannian Geometry, Elements of General Relativity, 1-35 (2019)
  • [49] PT Chruściel, PT Chruściel, Weak Fields and Gravitational Waves, Elements of General Relativity, 119-165 (2019)
  • [50] PT Chruściel, PT Chruściel, The Schwarzschild Metric, Elements of General Relativity, 51-117 (2019)
  • [51] PT Chruściel, PT Chruściel, Stars, General Relativity, 167-187 (2019)
  • [52] PT Chruściel, PT Chruściel, Cosmology, Elements of General Relativity, 189-249 (2019)
  • [53] PT Chruściel, GJ Galloway, L Nguyen, TT Paetz, On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds, Classical and Quantum Gravity, 35(11) (2018)
  • [54] PT Chruściel, E Delay, Exotic hyperbolic gluings, Journal of Differential Geometry, 108(2), 243-293 (2018)
  • [55] R Beig, PT Chruściel, C Hilweg, P Kornreich, P Walther, Weakly gravitating isotropic waveguides, Classical and Quantum Gravity, 35(24) (2018)
  • [56] PT Chruściel, P Klinger, The annoying null boundaries, Physics: Conference Series, 968(1) (2018)
  • [57] PT Chruściel, GJ Galloway, E Ling, Weakly trapped surfaces in asymptotically de Sitter spacetimes, Classical and Quantum Gravity, 35(13) (2018)
  • [58] PT Chruściel, E Delay, P Klinger, Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields, Classical and Quantum Gravity, 35(3) (2018)
  • [59] PT Chruściel, E Delay, P Klinger, A Kriegl, PW Michor, A Rainer, Non-singular space-times with a negative cosmological constant: V. Boson stars, Letters in Mathematical Physics, 108, 2009-2030 (2018)
  • [60] H Barzegar, PT Chruściel, L Nguyen, On the total mass of asymptotically hyperbolic manifolds, arXiv preprint arXiv:1812.03924 (2018)
  • [61] PT Chrusciel, L Nguyen, P Tod, A Vasy, Asymptotically flat Einstein-Maxwell fields are inheriting, arXiv preprint arXiv:1802.09915 (2018)
  • [62] C Hilweg, F Massa, D Martynov, N Mavalvala, PT Chruściel, P Walther, Gravitationally induced phase shift on a single photon, New Journal of Physics, 19(3) (2017)
  • [63] PT Chruściel, R Gicquaud, Bifurcating solutions of the Lichnerowicz equation, Annales Henri Poincaré, 18, 643-679 (2017)
  • [64] H Barzegar, PT Chruściel, M Hörzinger, Energy in higher-dimensional spacetimes, Physical Review D, 96(12) (2017)
  • [65] PT Chruściel, SJ Szybka, P Tod, Towards a classification of vacuum near-horizons geometries, arXiv preprint arXiv:1707.01118 (2017)
  • [66] R Beig, PT Chruściel, Shielding linearized gravity, Physical Review D, 95(6) (2017)
  • [67] PT Chruściel, E Delay, P Klinger, On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics, preprint (2017)
  • [68] PT Chruściel, E Delay, Non-singular space-times with a negative cosmological constant: II. Static solutions of the Einstein–Maxwell equations, Letters in Mathematical Physics, 107, 1391-1407 (2017)
  • [69] PT Chruściel, E Delay, P Klinger, Nonsingular spacetimes with a negative cosmological constant: Stationary solutions with matter fields, Physical Review D, 95(10) (2017)
  • [70] PT Chruściel, Long time existence from interior gluing, Classical and Quantum Gravity, 34(14) (2017)
  • [71] PT Chruściel, On periodic solutions of nonlinear wave equations, including Einstein equations with a negative cosmological constant, arXiv preprint arXiv:1711.11261 (2017)
  • [72] PT Chruściel, M Hörzinger, Compact singularity-free Kerr–Newman–de Sitter instantons, Physical Review D, 95(8) (2017)
  • [73] TC Collins, Nonlinear analysis in geometry and applied mathematics, International Press, 2 (2017)
  • [74] PT Chruściel, JDE Grant, E Minguzzi, On differentiability of volume time functions, Annales Henri Poincaré, 17, 2801-2824 (2016)
  • [75] PT Chruściel, L Ifsits, The cosmological constant and the energy of gravitational radiation, Physical Review D, 93(12) (2016)
  • [76] L Bieri, PT Chruściel, Future-complete null hypersurfaces, interior gluings, and the trautman-bondi mass, arXiv preprint arXiv:1612.04359 (2016)
  • [77] PT Chruściel, E Delay, On Carlotto-Schoen-type scalar-curvature gluings, arXiv preprint arXiv:1611.00893 (2016)
  • [78] PT Chrusciel, M Hörzinger, The Euclidean quantisation of Kerr-Newman-de Sitter black holes, Journal of High Energy Physics, 2016(4), 1-37 (2016)
  • [79] PT Chruściel, TT Paetz, Characteristic initial data and smoothness of Scri. I. Framework and results, Annales Henri Poincaré, 16, 2131-2162 (2015)
  • [80] PT Chruściel, J Jezierski, J Kijowski, Hamiltonian dynamics in the space of asymptotically Kerr–de Sitter spacetimes, Physical Review D, 92(8) (2015)
  • [81] PT Chruściel, P Klinger, Vacuum spacetimes with controlled singularities and without symmetries, Physical Review D, 92(4) (2015)
  • [82] PT Chrusciel, Lectures on Black Holes, Lectures on Black Holes (2015)
  • [83] A Cabet, PT Chruściel, RT Wafo, On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations, arXiv preprint arXiv:1406.3009 (2014)
  • [84] PT Chruściel, The existence theorem for the general relativistic Cauchy problem on the light-cone, Forum of Mathematics, Sigma, 2 (2014)
  • [85] PT Chruściel, TT Paetz, The mass of light-cones, arXiv preprint arXiv:1401.3789 (2014)
  • [86] PT Chruściel, GJ Galloway, Outer trapped surfaces are dense near MOTSs, Classical and Quantum Gravity, 31(4) (2014)
  • [87] PT Chruściel, TT Paetz, A2: Mathematical relativity and other progress in classical gravity theory—a session report, General Relativity and Gravitation, 46, 1-11 (2014)
  • [88] PT Chruściel, TT Paetz, Solutions of the vacuum Einstein equations with initial data on past null infinity, arXiv preprint arXiv:1307.0321 (2013)
  • [89] PT Chruściel, J Jezierski, J Kijowski, Hamiltonian mass of asymptotically Schwarzschild–de Sitter space-times, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 87(12) (2013)
  • [90] PT Chruściel, TT Paetz, KIDs like cones, Classical and Quantum Gravity, 30(23) (2013)
  • [91] PT Chruściel, On maximal globally hyperbolic vacuum space-times, Journal of Fixed Point Theory and Applications, 14, 325-353 (2013)
  • [92] PT Chrusciel, General Relativity I and II based on Oxford GRI, additions and revisions, Vienna 2011/2012 and 2012/13 (2013)
  • [93] PT Chruściel, JL Costa, M Heusler, Stationary black holes: uniqueness and beyond, Living Reviews in Relativity, 15, 1-73 (2012)
  • [94] PT Chruściel, JDE Grant, On Lorentzian causality with continuous metrics, Classical and Quantum Gravity, 29(14) (2012)
  • [95] PT Chruściel, TT Paetz, The many ways of the characteristic Cauchy problem, arXiv preprint arXiv:1203.4534 (2012)
  • [96] PT Chruściel, CR Ölz, SJ Szybka, Space-time diagrammatics, Physical Review D—Particles, Fields, Gravitation, and Cosmology, 86(12), 124041 (2012)
  • [97] PT Chruściel, R Mazzeo, Initial data sets with ends of cylindrical type: I. The Lichnerowicz equation, arXiv preprint arXiv:1201.4937 (2012)
  • [98] PT Chrusciel, H Friedrich, The Einstein Equations and the Large Scale Behavior of Gravitational Fields: 50 Years of the Cauchy Problem in General Relativity, Birkhäuser (2012)
  • [99] PT Chruściel, J Jezierski, On free general relativistic initial data on the light cone, Journal of Geometry and Physics, 62(3), 578-593 (2012)
  • [100] Y Choquet-Bruhat, PT Chruściel, Cauchy problem with data on a characteristic cone for the Einstein-Vlasov equations, arXiv preprint arXiv:1206.0390 (2012)
  • [101] PT Chrusciel, Lectures on energy in general relativity, kraków, march-april 2010, Preprint, available at http://homepage. univie. ac. at/piotr. chrusciel (2012)
  • [102] Y Choquet-Bruhat, PT Chruściel, JM Martín-García, The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions, Annales Henri Poincaré, 12, 419-482 (2011)
  • [103] PT Chruściel, Elements of causality theory, arXiv preprint arXiv:1110.6706 (2011)
  • [104] PT Chruściel, J Corvino, J Isenberg, Construction of N-Body Initial Data Sets in General Relativity, Communications in Mathematical Physics, 304, 637-647 (2011)
  • [105] PT Chruściel, M Eckstein, L Nguyen, SJ Szybka, Existence of singularities in two-Kerr black holes, Classical and quantum gravity, 28(24) (2011)
  • [106] PT Chruściel, E Delay, Unique continuation and extensions of Killing vectors at boundaries for stationary vacuum space-times, Journal of Geometry and Physics, 61(8), 1249-1257 (2011)
  • [107] PT Chruściel, L Nguyen, A lower bound for the mass of axisymmetric connected black hole data sets, Classical and Quantum Gravity, 28(12) (2011)
  • [108] PT Chrusciel, JL Costa, M Heusler, Living Rev. Relativ. 15 (2012) 7, arXiv preprint arXiv:1205.6112 (2011)
  • [109] PT Chruściel, RT Wafo, Solutions of quasi-linear wave equations polyhomogeneous at null infinity in high dimensions, Journal of Hyperbolic Differential Equations, 8(2), 269-346 (2011)
  • [110] PT Chrusciel, SJ Szybka, Stable causality of the Pomeransky–Senkov black holes (2011)
  • [111] CB Yvonne, MGJ Maria, An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data, Ученые записки Казанского университета. Серия Физико-математические науки (2011)
  • [112] PT Chrusciel, An introduction to the Cauchy problem for the Einstein equations Roscoff, November 2010 (2011)
  • [113] P Chruściel, G Galloway, D Pollack, Mathematical general relativity: a sampler, Bulletin of the American Mathematical Society, 47(4), 567-638 (2010)
  • [114] PT Chruściel, L Nguyen, A uniqueness theorem for degenerate Kerr–Newman black holes, Annales Henri Poincare, 11, 585-609 (2010)
  • [115] PT Chrusciel, Conformal boundary extensions of Lorentzian manifolds, Journal of differential geometry, 84(1), 19-44 (2010)
  • [116] PT Chrusciel, Lectures on energy in general relativity, Krakow, March April (2010)
  • [117] Y Choquet-Bruhat, PT Chruściel, JM Martín-García, An existence theorem for the Cauchy problem on a characteristic cone for the Einstein equations, arXiv preprint arXiv:1006.5558 (2010)
  • [118] PT Chruściel, GJ Galloway, Uniqueness of static black holes without analyticity, Classical and quantum gravity, 27(15), 152001 (2010)
  • [119] PT Chruściel, M Eckstein, SJ Szybka, On smoothness of black saturns, Journal of High Energy Physics, 11, 1-39 (2010)
  • [120] PT Chruściel, J Cortier, Maximal analytic extensions of the Emparan-Reall black ring, Journal of Physics: Conference Series, 229(1) (2010)
  • [121] PT Chrusciel, J Cortier, AGP Gómez-Lobo, On the global structure of the Pomeransky–Senkov black holes (2010)
  • [122] PT Chruściel, J Corvino, J Isenberg, Initial data for the relativistic gravitational N-body problem, Classical and Quantum Gravity, 27(22) (2010)
  • [123] PT Chruściel, L Nguyen, Ghost points in inverse scattering constructions of stationary Einstein metrics, arXiv preprint arXiv:1007.4972 (2010)
  • [124] PT Chruściel, J Isenberg, A Rendall, Mathematical Aspects of General Relativity, Oberwolfach Reports, 6(4), 2585-2646 (2010)
  • [125] Y Choquet-Bruhat, PT Chruściel, JM Martín-García, Einstein constraints on a characteristic cone, Waves And Stability In Continuous Media, 93-102 (2010)
  • [126] PT Chruściel, GJ Galloway, D Solis, Topological censorship for Kaluza–Klein space-times, Annales Henri Poincare, 10(5), 893-912 (2009)
  • [127] PT Chruściel, JL Costa, Mass, angular-momentum and charge inequalities for axisymmetric initial data, Classical and Quantum Gravity, 26(23) (2009)
  • [128] Y Choquet-Bruhat, PT Chruściel, JM Martín-García, The light-cone theorem, Classical and Quantum Gravity, 26(13) (2009)
  • [129] PT Chruściel, On higher dimensional black holes with abelian isometry group, Journal of mathematical physics, 50(5) (2009)
  • [130] PT Chruściel, P Tod, An angular momentum bound at null infinity (2009)
  • [131] PT Chruściel, RT Wafo, Solutions polyhomogènes des équations d'ondes quasi-linéaires, Comptes Rendus Mathematique 347 (17-18), 1035-1040 (2009)
  • [132] PT Chruściel, P Tod, On Mason’s rigidity theorem, Communications in Mathematical Physics, 285(1), 1-29 (2009)
  • [133] PT Chrusciel, RT Wafo, Polyhomogeneous solutions of quasi-linear wave equations, COMPTES RENDUS MATHEMATIQUE 347 (17-18), 1035-1040 (2009)
  • [134] Y Choquet-Bruhat, PT Chruściel, JM Martín-García, A property of light-cones in Einstein's gravity, Comptes Rendus. Mathématique 347 (15-16), 971-977 (2009)
  • [135] PT Chruściel, JL Costa, On uniqueness of stationary vacuum black holes, arXiv preprint arXiv:0806.0016 (2008)
  • [136] PT Chruściel, Y Li, G Weinstein, Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular momentum, Annals of Physics, 323(10), 2591-2613 (2008)
  • [137] PT Chruściel, D Pollack, Singular Yamabe metrics and initial data with exactly Kottler–Schwarzschild–de Sitter ends, Annales Henri Poincaré, 9, 639-654 (2008)
  • [138] PT Chrusciel, Remarks on rigidity of the de Sitter metric, unpublished manu (2008)
  • [139] PT Chrusciel, An Introduction to Black Holes Marrakech, May 2008 (2008)
  • [140] PT Chruściel, P Tod, The classification of static electro–vacuum space–times containing an asymptotically flat spacelike hypersurface with compact interior, Communications in mathematical physics, 271(3), 577-589 (2007)
  • [141] PT Chrusciel, E Delay, Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature, arXiv preprint arXiv:0711.1557 (2007)
  • [142] R Beig, PT Chruściel, The asymptotics of stationary electro-vacuum metrics in odd spacetime dimensions, Classical and Quantum Gravity, 24(4) (2007)
  • [143] PT Chruściel, SJ Szybka, On the Ernst electro-vacuum equations and ergosurfaces, arXiv preprint arXiv:0708.1169 (2007)
  • [144] PT Chruściel, J Isenberg, D Pollack, A Brief Review of Initial Data Engineering, Gravitation And Astrophysics: On the Occasion of the 90th Year of General … (2007)
  • [145] PT Chruściel, D Maerten, Killing vectors in asymptotically flat space-times. II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions, Journal of mathematical physics, 47(2) (2006)
  • [146] PT Chruściel, D Maerten, P Tod, Rigid upper bounds for the angular momentum and centre of massof non-singular asymptotically anti-de Sitter space-times, Journal of High Energy Physics, 2006(11) (2006)
  • [147] Y Choquet-Bruhat, PT Chruściel, J Loizelet, Global solutions of the Einstein–Maxwell equations in higher dimensions, Classical and Quantum Gravity, 23(24) (2006)
  • [148] PT Chruściel, S Łȩski, Polyhomogeneous solutions of nonlinear wave equations without corner conditions, Journal of Hyperbolic Differential Equations, 3(1), 81-141 (2006)
  • [149] PT Chruściel, GM Greuel, R Meinel, SJ Szybka, The Ernst equation and ergosurfaces, Classical and Quantum Gravity, 23(13) (2006)
  • [150] PT Chrusciel, JL Costa, M Heusler, Living Rev. Relat. 15, 7 (2012), Other (2006)
  • [151] PT Chrusciel, FDP LMPT, Lectures on Mathematical Relativity Beijing, July 2006 (2006)
  • [152] CJ Isham, PT Chrusciel, Modern Differential Geometry For Physicists 2nd Edn, CLASSICAL AND QUANTUM GRAVITY, 23(13) (2006)
  • [153] PT Chrusciel, Modern Differential Geometry For Physicists, Classical and Quantum Gravity, 23 (2006)
  • [154] PT Chruściel, E Delay, JM Lee, DN Skinner, Boundary regularity of conformally compact Einstein metrics, Journal of Differential Geometry, 69(1), 111-136 (2005)
  • [155] PT Chruściel, J Isenberg, D Pollack, Initial data engineering, Communications in Mathematical Physics, 257(1), 29-42 (2005)
  • [156] PT Chruściel, HS Reall, P Tod, On non-existence of static vacuum black holes with degenerate components of the event horizon, Classical and Quantum Gravity, 23(2) (2005)
  • [157] R Beig, PT Chruściel, R Schoen, KIDs are non-generic, Annales Henri Poincare, 6(1), 155-194 (2005)
  • [158] RA Bartnik, PT Chruściel, Boundary value problems for Dirac-type equations, Walter de Gruyter, 579, 13-73 (2005)
  • [159] MT Anderson, PT Chruściel, Asymptotically simple solutions of the vacuum Einstein equations in even dimensions, Communications in mathematical physics, 260(3), 557-577 (2005)
  • [160] PT Chrusciel, HS Reall, P Tod, On Israel-Wilson-Perjes black holes, arXiv preprint gr-qc/0512116 (2005)
  • [161] PT Chrusciel, E Delay, Non-singular, vacuum, stationary space-times with a negative cosmological constant, arXiv preprint gr-qc/0512110 (2005)
  • [162] R Beig, PT Chruściel, Stationary black holes, arXiv preprint gr-qc/0502041 (2005)
  • [163] PT Chruściel, Recent results in mathematical relativity, General Relativity and Gravitation, 36-55 (2005)
  • [164] PT Chruściel, O Lengard, Radiation fields, Bulletin de la Société Mathématique de France, 133(1), 1-72 (2005)
  • [165] PT Chruściel, A Gerber, Some potentials for the curvature tensor on three-dimensional manifolds, General Relativity and Gravitation, 37, 891-905 (2005)
  • [166] PT CHRUSCIEL, E DELAY, ON EXISTENCE OF NON-SINGULAR, VACUUM, STATIONARY SPACE-TIMES WITH A NEGATIVE COSMOLOGICAL CONSTANT (2005)
  • [167] PT CHRUŚCIEL, g=-V2dt²+ V-2dr²+ r2dN2, Relativity, 93 (2005)
  • [168] PT Chrusciel, Black Holes–an Introduction, 100 Years (2005)
  • [169] HL Bray, PT Chruściel, The penrose inequality, The Einstein Equations and the Large Scale Behavior of Gravitational Fields … (2004)
  • [170] PT Chruściel, J Jezierski, S łęski, The Trautman-Bondi mass of hyperboloidal initial data sets (2004)
  • [171] PT Chruściel, J Isenberg, D Pollack, Gluing initial data sets for general relativity, Physical Review Letters, 93(8) (2004)
  • [172] HL Bray, PT Chrusciel, The Penrose inequality, The Einstein equations and the large scale behavior of gravitational fields, Birkhäuser (2004)
  • [173] PT Chrusciel, On analyticity of static vacuum metrics at non-degenerate horizons, preprint (2004)
  • [174] PT Chruściel, E Delay, Manifold structures for sets of solutions of the general relativistic constraint equations, Journal of Geometry and Physics, 51(4), 442-472 (2004)
  • [175] PT Chrusciel, GJ Galloway, A poor man's positive energy theorem, arXiv preprint gr-qc/0402106 (2004)
  • [176] PT Chruściel, K Lake, Cauchy horizons in Gowdy spacetimes, Classical and Quantum Gravity, 21(3) (2004)
  • [177] H Friedrich, PT Chrusciel, The Einstein equations and the large scale behavior of gravitational fields, Birkhäuser (2004)
  • [178] M Chae, PT Chruściel, On the dynamics of Gowdy space‐times, Communications on Pure and Applied Mathematics (2004)
  • [179] PT Chrusciel, K Lake, Cauchy horizons in Gowdy spacetimes [04.20. Dw Singularities and cosmic censorship; 04.20. Ex Initial value problem, existence and uniqueness of solutions;], Classical and Quantum Gravity, 21 (2004)
  • [180] PT Chruściel, M Herzlich, The mass of asymptotically hyperbolic Riemannian manifolds, Pacific Journal of Mathematics, 212(2), 231-264 (2003)
  • [181] PT Chruściel, E Delay, On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications, Société mathématique de France (2003)
  • [182] PT Chrusciel, R Mazzeo, On ‘many-black-hole’vacuum spacetimes, Classical and Quantum Gravity, 20(4) (2003)
  • [183] RA Bartnik, PT Chrusciel, Boundary value problems for Dirac-type equations, with applications, arXiv preprint math/0307278, 2 (2003)
  • [184] PT Chrusciel, R Bartnik, Boundary value problems for Dirac--type equations, with applications, arXiv preprint math/0307278 (2003)
  • [185] PT Chrusciel, J Isenberg, D Pollack, Space-time Engineering (2003)
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  • [187] PT Chrusciel, E Delay, Existence of non-trivial, vacuum, asymptotically simple spacetimes, Classical and Quantum Gravity, 19(9) (2002)
  • [188] MT Anderson, PT Chrusciel, E Delay, Non-trivial, static, geodesically complete, vacuum space-times with a negative cosmological constant, Journal of High Energy Physics, 2002(10) (2002)
  • [189] P Chruściel, Black holes, The Conformal Structure of Space-Time, 61, 61-102 (2002)
  • [190] PT Chruściel, JHG Fu, GJ Galloway, R Howard, On fine differentiability properties of horizons and applications to Riemannian geometry, Journal of Geometry and Physics, 41(1-2), 1-12 (2002)
  • [191] PT Chrusciel, O Lengard, Solutions of wave equations in the radiation regime, arXiv preprint math/0202015 (2002)
  • [192] PT Chrusciel, R Mazzeo, On" many black hole" space-times, arXiv preprint gr-qc/0210103 (2002)
  • [193] PT Chrusciel, On solutions of the vacuum Einstein equation in the radiation regime, arXiv preprint gr-qc/0210092 (2002)
  • [194] PT Chruściel, Editor's Note: Lectures on General Relativity by Andrzej Trautman, General Relativity and Gravitation, 34, 715-719 (2002)
  • [195] PT Chruściel, J Jezierski, J Kijowski, Radiating scalar fields, Hamiltonian Field Theory in the Radiating Regime, 41-63 (2002)
  • [196] PT Chruściel, J Jezierski, J Kijowski, Hamiltonian flows for geometric field theories, Hamiltonian Field Theory in the Radiating Regime, 23-39 (2002)
  • [197] PT Chruściel, J Jezierski, J Kijowski, The energy of the gravitational field, Hamiltonian Field Theory in the Radiating Regime, 65-104 (2002)
  • [198] PT Chruściel, J Jezierski, J Kijowski, Hamiltonians associated with the BMS group, Hamiltonian Field Theory in the Radiating Regime, 105-137 (2002)
  • [199] PT Chruściel, E Delay, GJ Galloway, R Howard, Regularity of horizons and the area theorem, Annales Henri Poincare, 2(1), 109-178 (2001)
  • [200] PT Chrusciel, J Jezierski, J Kijowski, Hamiltonian field theory in the radiating regime, Springer (2001)
  • [201] PT Chrusciel, G Nagy, The mass of spacelike hypersurfaces in asymptotically anti-de Sitter space-times, arXiv preprint gr-qc/0110014 (2001)
  • [202] PT Chrusciel, G Nagy, The Hamiltonian mass of asymptotically anti-de Sitter space-times, Classical and Quantum Gravity, 18(9) (2001)
  • [203] PT Chrusciel, M Herzlich, The mass of asymptotically hyperbolic manifolds, preprint (2001)
  • [204] PT Chrusciel, W Simon, Towards the classification of static vacuum spacetimes with negative cosmological constant, arXiv preprint gr-qc/0004032 (2000)
  • [205] PT Chrusciel, G Nagy, The mass of asymptotically anti-de Sitter space-times, arXiv preprint hep-th/0011270 (2000)
  • [206] R Beig, PT Chrusciel, Killing initial data, Classical and Quantum Gravity, 14(1) (1999)
  • [207] PT Chrusciel, The classification of static vacuum spacetimes containing an asymptotically flat spacelike hypersurface with compact interior, Classical and Quantum Gravity, 16(3) (1999)
  • [208] PT Chrusciel, Towards a classification of static electrovacuum spacetimes containing an asymptotically flat spacelike hypersurface with compact interior, Classical and Quantum Gravity, 16(3) (1999)
  • [209] PT Chrusciel, On completeness of orbits of Killing vector fields, Classical and Quantum Gravity, 10(10) (1999)
  • [210] PT Chruściel, J Jezierski, MAH MacCallum, Uniqueness of the Trautman-Bondi mass, Physical Review D, 58(8) (1998)
  • [211] PT Chruściel, GJ Galloway, Horizons non-differentiable on a dense set, Communications in Mathematical Physics, 193(2), 449-470 (1998)
  • [212] PT Chrusciel, A remark on differentiability of Cauchy horizons, Classical and Quantum Gravity, 15(12) (1998)
  • [213] PT Chruściel, J Jezierski, MAH MacCallum, Uniqueness of scalar field energy and gravitational energy in the radiating regime, Physical Review Letters, 80(23) (1998)
  • [214] PT Chrusciel, GR15 Workshop A3---Mathematical Studies of Field Equations---A report, arXiv preprint gr-qc/9803008 (1998)
  • [215] BK Berger, PT Chruściel, J Isenberg, V Moncrief, Global Foliations of Vacuum Spacetimes with T2 Isometry, Annals of Physics, 260(1), 117-148 (1997)
  • [216] PT Chruściel, On rigidity of analytic black holes, Communications in Mathematical Physics, 189(1), 1-7 (1997)
  • [217] PTC SCIEL, J Shatah, GLOBAL EXISTENCE OF SOLUTIONS OF THE YANG {MILLS EQUATIONS ON GLOBALLY HYPERBOLIC FOUR DIMENSIONAL LORENTZIAN MANIFOLDS (1997)
  • [218] R Beig, PT Chruściel, The isometry groups of asymptotically flat, asymptotically empty space–times with timelike ADM four–momentum, Communications in Mathematical Physics, 188, 585-597 (1997)
  • [219] PT Chrusciel, J Isenberg, On the stability of the differentiability of Cauchy horizons, Communications in Analysis and Geometry, 5(2), 249-277 (1997)
  • [220] PT Chruściel, Lorentzian geometry and Einstein equations, (No Title) (1997)
  • [221] PT Chruściel, A Królak, Mathematics of Gravitation: Lorentzian geometry and Einstein equations, Polish Academy of Sciences, Institute of Mathematics (1997)
  • [222] T Balaban, BK Berger, RK Bhaduri, PT Chrusciel, C Codirla, A Domps et al., Article No. PH975748, Annals of Physics, 260 (1997)
  • [223] PT Chruciel, Mathematics of gravitation (1997)
  • [224] L Andersson, PT Chrusciel, Solutions of the constraint equations in general relativity satisfying “hyperboloidal boundary conditions”, Dissertationes Mathematicae, 355, 1-100 (1996)
  • [225] R Beig, PT Chruściel, Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem, Journal of Mathematical Physics, 37(4), 1939-1961 (1996)
  • [226] PT Chruściel, Uniqueness of stationary, electro-vacuum black holes revisited, arXiv preprint gr-qc/9610010 (1996)
  • [227] L Andersson, PT Chruściel, Solutions of the constraint equations in general relativity satisfying hyperboloidal boundary conditions. Dissertationes Mathematicae Polska Akademia Nauk, Inst, Matem (1996)
  • [228] PT Chrusciel, MAH MacCallum, DB Singleton, PT Chrusciel et al., Gravitational Waves in General Relativity XIV. Bondi Expansions and the "Polyhomogeneity" of Scri, Philosophical Transactions of the Royal Society of London. Series A … (1995)
  • [229] BK Berger, PT Chrusciel, V Moncrief, On" Asymptotically Flat" Space-Times with G2-Invariant Cauchy Surfaces, annals of physics, 237(2), 322-354 (1995)
  • [230] PT Chrusciel, AD Rendall, Strong cosmic censorship in vacuum space-times with compact, locally homogeneous Cauchy surfaces, Annals of Physics, 242(2), 349-385 (1995)
  • [231] PT Chrusciel, NS Nadirashvili, All electrovacuum Majumdar-Papapetrou spacetimes with non-singular black holes, Classical and Quantum Gravity, 12(3) (1995)
  • [232] PT Chrusciel, RM Wald, On the topology of stationary black holes, Classical and Quantum Gravity, 11(12) (1994)
  • [233] PT Chrusciel, " No Hair" Theorems--Folklore, Conjectures, Results, arXiv preprint gr-qc/9402032 (1994)
  • [234] PT Chrusciel, RM Wald, Maximal hypersurfaces in stationary asymptotically flat spacetimes, Communications in mathematical physics, 163(3), 561-604 (1994)
  • [235] L Andersson, PT Chruściel, On “hyperboloidal” Cauchy data for vacuum Einstein equations and obstructions to smoothness of Scri, Communications in Mathematical Physics, 161, 533-568 (1994)
  • [236] PT Chruściel, J Isenberg, On the dynamics of generators of Cauchy horizons, Deterministic Chaos in General Relativity, 113-125 (1994)
  • [237] L Andersson, PT Chruściel, Hyperboloidal Cauchy data for vacuum Einstein equations and obstructions to smoothness of null infinity, Physical review letters, 70(19) (1993)
  • [238] PT Chruściel, J Isenberg, Nonisometric vacuum extensions of vacuum maximal globally hyperbolic spacetimes, Physical Review D, 48(4) (1993)
  • [239] P Chrusciel, J Isenberg, Compact Cauchy horizons and Cauchy surfaces, Directions in General Relativity: Papers in Honor of Dieter Brill, 2 (1993)
  • [240] PT Chruściel, RM Wald, Maximal hypersurfaces in asymptotically stationary spacetimes, Australian National University, School of Mathematical Sciences, Centre for … (1993)
  • [241] PT Chruściel, MAH MacCallum, DB Singleton, Bondi Expansions and the" polyhomogeneity" of Scri, Centre for Mathematics and its Applications, Australian National University (1993)
  • [242] L Andersson, PT Chruściel, H Friedrich, On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations, Communications in Mathematical Physics, 149, 587-612 (1992)
  • [243] PT Chrusciel, On the uniqueness in the large of solutions to the Einstein equations (“strong cosmic censorship”)”, Mathematical Aspects of Classical Field Theory, 235-273 (1992)
  • [244] PT Chrusciel, PT Chrusciel, On the global structure of Robinson-Trautman space-times, Proceedings of the Royal Society of London. Series A: Mathematical and ... (1992)
  • [245] PT Chruściel, DB Singleton, Non-smoothness of event horizons of Robinson-Trautman black holes, Communications in Mathematical Physics, 147(1), 137-162 (1992)
  • [246] PT Chruściel, Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation, Communications in Mathematical Physics, 137(2), 289-313 (1991)
  • [247] PT Chrusciel, On the uniqueness in the large of solutions of Einstein’s equations, Strong cosmic censorship 20 (1991)
  • [248] PT Chruściel, On space-times with U(1)×U(1) symmetric compact Cauchy surfaces, Annals of Physics, 202(1), 100-150 (1990)
  • [249] PT Chrusciel, J Isenberg, V Moncrief, Strong cosmic censorship in polarised Gowdy spacetimes, Classical and Quantum Gravity, 7(10) (1990)
  • [250] R Bartnik, PT Chruściel, NŌ Murchadha, On maximal surfaces in asymptotically flat space-times, Communications in Mathematical Physics, 130(1), 95-109 (1990)
  • [251] PT Chruściel, Asymptotic estimates in weighted Hölder spaces for a class of elliptic scale-covariant second order operators, Annales de la Faculté des sciences de Toulouse: Mathématiques, 11(1), 21-37 (1990)
  • [252] PT Chruściel, On Robinson-Trautman Space-Times, Centre for Mathematical Analysis, School of Mathematical Sciences, the … (1990)
  • [253] SL BRAUNSTEIN, CM CAVES, A CHATTERJEE, PT CHRUSCIEL et al., GABELLINI, YVES, 436 GOEKE, K., 297 G~ RNICKI, PAWEL, 271 GRANDOLJ, THIERRY, 436 GR~~ MMER, F., 297, Annals of Physics, 202 (1990)
  • [254] PT Chruściel, On the structure of spatial infinity. II. Geodesically regular Ashtekar–Hansen structures, Journal of mathematical physics, 30(9), 2094-2100 (1989)
  • [255] PT Chruściel, On the structure of spatial infinity. I. The Geroch structure, Journal of mathematical physics, 30(9), 2090-2093 (1989)
  • [256] PT Chrusciel, On the energy of the gravitational field at spatial infinity (1989)
  • [257] PT Chruściel, On the invariant mass conjecture in general relativity, Communications in Mathematical Physics, 120(2), 233-248 (1988)
  • [258] M Aizenman, JL Lebowitz, D Ruelle, Addendum:``Some rigorous results on the Sherrington-Kirkpatrick spin glass model'' (1988)
  • [259] PT Chruściel, W Kondracki, Some global charges in classical Yang-Mills theory, Physical Review D, 36(6) (1987)
  • [260] PT Chrusciel, On angular momentum at spatial infinity, Classical and Quantum Gravity, 4(6) (1987)
  • [261] PT Chrusciel, Corrigendum: a remark on the positive-energy theorem, Classical and Quantum Gravity, 4(4) (1987)
  • [262] T Chrusciel, On p-harmonic coordinates in general relativity, Comptes Rendus de l'Academie des Sciences. Serie 1, 305(18), 797-800 (1987)
  • [263] PT Chrusciel, Boundary conditions at spatial infinity from a Hamiltonian point of view, Topological Properties and Global Structure of Space-Time (1986)
  • [264] PT Chrusciel, A remark on the positive-energy theorem, Classical and Quantum Gravity, 3(6) (1986)
  • [265] PT Chruściel, On the relation between the Einstein and the Komar expressions for the energy of the gravitational field, Annales de l'IHP Physique théorique, 42(3), 267-282 (1985)
  • [266] PT Chrusciel, Y CHOQUET-BRUHAT, Sur les feuilletages «conformément minimaux» des variétés riemanniennes de dimension trois, Comptes rendus de l'Académie des sciences, 301(11) (1985)
  • [267] PT Chruściel, Conformally Minimal Foliations of Three Dimensional Rieman [n] ian Manifolds and the Energy of the Gravitational Field, IM (1985)
  • [268] PT Chruściel, On the invariance properties and the hamiltonian of the unified affine electromagnetism and gravitation theories, Annales de l'IHP Physique théorique, 42(4), 329-340 (1985)
  • [269] PT CHRUSCIEL, ON CONFORMALLY-MINIMAL FOLIATIONS OF 3 DIMENSIONAL RIEMANNIAN-MANIFOLDS, COMPTES RENDUS DE L'ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 301(11), 609-612 (1985)
  • [270] PT Chruściel, J Kowalski-Glikman, The isometry group and killing spinors for the pp wave space-time in D= 11 supergravity, Physics Letters B, 149(1), 107-110 (1984)
  • [271] PT Chruściel, On the unified affine electromagnetism and gravitation theories, Acta Physica Polonica: B, 15 (1984)
  • [272] PT Chrusciel, Sur l'existence de solutions singulières d'une équation «condition de coordonnées» utilisée par J. Kijowski dans l'analyse symplectique de la relativité générale, Comptes rendus des séances de l'Académie des sciences (1984)
  • [273] PT CHRUSCIEL, ON THE EXISTENCE OF SINGULAR SOLUTIONS OF A COORDINATE CONDITIONS EQUATION USED BY KIJOWSKI, J. IN SYMPLECTIC ANALYSIS OF GENERAL-RELATIVITY, COMPTES RENDUS DE L'ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 299(17), 891-894 (1984)
  • [274] PT Chrusciel, Asymptotic symmetries of de Sitter space-time, Acta Physica Polonica, 12(8), 719-737 (1981)
  • [275] PT Chruściel, JA Isenberg, ST Yau, Selected works of Robert A. Bartnik
  • [276] PT Chruściel, J Jezierski, J Kijowski, Hamiltonian Field Theory in the Radiating Regime [electronic resource]
  • [277] PT Chruściel, On the canonical energy of weak gravitational fields with a cosmological constant Λ∈ R
  • [278] PT Chruściel, T Smołka, Hamiltonian Charges in Spacetimes with a Positive Cosmological Constant
  • [279] P Tod, LJ Alías, M Brozos-Vázquez, E Caponio, PT Chruściel, W Globke et al., IX International Meeting on Lorentzian Geometry
  • [280] P Chrusciel, Gluing methods in general relativity
  • [281] PT Chrusciel, Mathematical studies of field equations: GR15 Workshop A3
  • [282] PT Chrusciel, Essay presented to the Gravity Research Foundation, March 1988.
  • [283] PT Chruściel, SJ Hoque, M Maliborski, T Smołka, On the canonical energy of weak gravitational fields with a cosmological constant [Formula: see text]

 

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