拉尔斯•安德森
研究员
团队: 广义相对论和偏微分方程
办公室: A3-4-211
邮箱: lars.andersson@bimsa.cn
研究方向: 广义相对论、数学物理、微分几何
个人简介
Lars Andersson现任北京雁栖湖应用数学研究院研究员,曾在斯德哥尔摩皇家理工学院、迈阿密大学担任教授,曾任马克斯普朗克研究所几何与引力首席科学家,并在阿尔伯特·爱因斯坦研究所领导一个研究小组。他是微分几何与数学物理领域知名专家,荣获克劳福德建设奖、多布卢格奖。他主要研究广义相对论、数学物理和微分几何的相关问题,并为宇宙学模型、表观视界和自引力弹性体的数学分析做出了贡献。Lars-Andersson最近的研究兴趣包括黑洞稳定性问题、引力瞬子和引力自旋霍尔效应。
教育经历
- - 1984 University of Umeå, Sweden, Mathematics 博士
工作经历
- 2022 - BIMSA Professor
- 2014 - 2022 University of Potsdam Professor
- 2005 - 2022 Albert-Einstein-Institut, Potsdam Professor
- 2003 - 2009 University of Miami, Coral Gables Professor
- 2001 - 2003 Royal Institute of Technology, Stockholm Professor
- 2001 - 2003 University of Miami, Coral Gables Associate Professor
- 1987 - 2001 Royal Institute of Technology Associate Professor
- 1986 - 1987 Swedish Inst. of Applied Math. (ITM) research position
- 1986 - 1987 Dept. math. Stockholm University NFR research position,
- 1984 - 1986 University of California, Berkeley, NFR PostDoc
荣誉与奖项
- 1996 Fulbright Fellowship
- 1994 Crafoord Foundation award, differential geometry
出版物
- [1] Andersson, L., Bäckdahl, T., Blue, P., Ma, S., Stability for linearized gravity on the Kerr spacetime, accepted by Annals of PDE (2025)
- [2] Aksteiner, S., Andersson, L., Gravitational Instantons and special geometry, Journal of Differential Geometry (2024)
- [3] Andersson, L., Kapitanski, L., Cauchy Problem for Incompressible Neo-Hookean materials, Archive for Rational Mechanics and Analysis, 247(2023), 21
- [4] L. Andersson, D. Häfner, B. Whiting, Mode analysis for the linearized Einstein equations on the Kerr metric : the large a case, accepted by Journal of the European Mathematical Society(2023)
- [5] Lars Andersson, Huali Zhang, Well-posedness for rough solutions of the 3D compressible Euler equations, arXiv: 2208.10132(2023)
- [6] Daniel Pook-Kolb, Bowen Zhao, Lars Andersson, Badri Krishnan and Shing-Tung Yau, Properties of Quasi-local mass in binary black hole mergers, Physical Review D, 108(2023), 12, 124031
- [7] Steffen Aksteiner, Lars Andersson, Mattias Dahl, Gustav Nilsson, Walter Simon, Gravitational instantons with S^1 symmetry, arXiv:2306.14567(2023)
- [8] Lars Andersson, Marius A. Oancea, Spin Hall effects in the sky, Class. Quantum Grav., 40(2023), 154002
- [9] Thomas Backdahl, Pieter Blue, Siyuan Ma, Nonlinear Radiation Gauge for Near Kerr Spacetimes, Communications in Mathematical Physics, None(None), None (2022)
- [10] Lars Andersson, Jean-Juris Joudioux, Marius Oancea, Anirudh Raj, Propagation of polarized gravitational waves, Physical Review D, 103(None), 044053 (2021)
- [11] Aghapour, S., Andersson, L., Bhattacharyya, R. “Helicity and spin conservation in Maxwell theory and Linearized Gravity", General Relativity and Gravitation 53 (2021) 102
- [12] Aghapour, S., Andersson, L., Rosquist, K. “Helicity, spin, and infra-zilch of light: A Lorentz covariant formulation", Ann. Phys. 431 (2021), 168535
- [13] Lars Andersson, László Lászlo, Béla Ruba, Nilpotent symmetries as a mechanism for Grand Unification, J. High Energy Phys., None(None), None (2021)
- [14] Aksteiner, S., Andersson, L., Bäckdahl, T., Khavkine, I., Whiting, B., Compatibility complex for black hole spacetimes, Comm. Math. Phys., 384(None), 1585-1614 (2021)
- [15] S., Andersson, L., Araneda, B., Whiting, B., On the geometry of Petrov type II spacetimes, Classical and Quantum Gravity, None(None), None (2021)
- [16] A., Gauge-invariant perturbations of Schwarzschild spacetime, None, 149(2), 100-117 (2021)
- [17] Lars Andersson, Peter Blue, Jianwei Wang, Morawetz estimate for linearized gravity in Schwarzschild, Ann. Henri Poincaré, 21(None), 761-813 (2020)
- [18] S. Aghapour, L. Andersson, K. Rosquist, The zilch electromagnetic conservation law revisited, J. Math. Phys., 61(None), 122902 (2020)
- [19] Lars Andersson, Dominik Fajman, Nonlinear stability of the Milne model with matter, Communications in Mathematical Physics, 378(None), 261-298 (2020)
- [20] S. Aghapour, L. Andersson, K. Rosquist, The Zilch Electromagnetic Conservation Law in Variational Characteristic Form, J. Math. Phys., 61(None), None (2020)
- [21] Oancea, M., Joudioux, J., Dodin, I., Ruiz, D., Paganini, C., Andersson, L. “Gravitational spin Hall effect of light", Phys. Rev. D 102 (2020), 024075
- [22] Lars Andersson, Pekka Blue, Zachary Wyatt, Shing-Tung Yau, Global stability of spacetimes with supersymmetric compactifications, accepted by submitted to Analysis and PDE, None(None), None (2020)
- [23] Lars Andersson, Anna Yvonne Burtscher, On the Asymptotic Behavior of Static Perfect Fluids, Ann. Henri Poincaré, 20(2), 813 - 857 (2019)
- [24] Aksteiner, S., Andersson, L., Bäckdahl, T. “New identities for linearized gravity on the Kerr spacetime”, Phys. Rev. D. 99 (2019), 044043.
- [25] Lars Andersson, Peter Blue, Jean-Philippe Joudioux, Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime, Comm. PDE, 43(1), 47-65 (2018)
- [26] Lars Andersson, Magnus Dahl, Gregory Galloway, David Pollack, On the geometry and topology of initial data sets with horizons, Asian J. Math., 22(5), 863-881 (2018)
- [27] Andersson, L., Bär, C. “Wave and Dirac equations on manifolds", Space-time-matter. Analytic and geometric structures. Brüning, J., Staudacher, M. (eds.) De Gruyter, Berlin (2018) 324-348.
- [28] L., Gudapati, N., Szeftel, J., Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System, Annals of P.D.E., 3(13) (2017)
- [29] Lars Andersson, Tomas Bäckdahl, Pablo Blue, A new tensorial conservation law for Maxwell fields on the Kerr background, J. Differential Geom., 105(2), 163-176 (2017)
- [30] Lars Andersson, Shu-Ming Ma, Carlo Paganinii, Benjamin F. Whiting, Mode stability on the real axis, J. Math. Phys., 58(072501), None (2017)
- [31] Andersson, L., Bäckdahl, T., Blue, P. “Geometry of black hole spacetimes", in “Asymptotic Analysis in General Relativity”, edited by T. Daudé, D. H´'afner, J.-P. Nicolas, LMS Lecture Note Series, vol. 443 (2017) 9-85.
- [32] Lars Andersson,Torbjörn Bäckdahl,Patrik Blue, Decay of solutions to the Maxwell equation on the Schwarzschild background, Class. Quant. Grav., 33(8), 085010 (2016)
- [33] Lars Andersson, Peter Blue, Hidden symmetries and decay for the wave equation on the Kerr spacetime, Annals of Mathematics, 182(2015), 787-853 (2015)
- [34] P., Andersson, L., Metzger, J., Szilagyi, B., Winicour, J., The Merger of Small and Large Black Holes, Class. Quant. Grav., 32(None), 235003 (2015)
- [35] L., Blue, P., Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior, J. Hyperbolic Differ. Equ., 12(4), 1-55 (2015)
- [36] Lars Andersson, Tanya Oliynyk, Brent J. Schmidt, Dynamical compact elastic bodies in general relativity, Archive for Rational Mechanics and Analysis, 220(None), 849-887 (2015)
- [37] T. Buchert, M. Carfora, G.F.R. Ellis, E.W. Kolb, M.A.H. MacCallum, J.J. Ostrowski, S. Räsänen, B.F. Roukema, L. Andersson, A.A. Coley, D.L. Wiltshire “Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?”, Class. Quantum Grav. 32 (2015) 215021
- [38] Lars Andersson, Self-gravitating elastic bodies, Equations of Motion in Relativistic Gravity, 179(None), 543-559 (2015)
- [39] Lars Andersson, Tilla Bäckdahl, Pablo Blue, Spin geometry and conservation laws in the Kerr spacetime, One hundred years of general relativity, Surveys in Differential Geometry, 20(None), 183-226 (2015)
- [40] Lars Andersson, Timothy Oliynyk, A transmission problem for quasi-linear wave equations, Journal of Differential Equations, 256(None), 2023-2078 (2014)
- [41] Lars Andersson, Tilla Bäckdahl, John Joudieaux, Hertz potentials and asymptotic properties of massless fields, Communications in Mathematical Physics, None(None), None (2014)
- [42] Lars Andersson, Torsten Bäckdahl, Peter Blue, Second order symmetry operators, Class. Quantum Grav., 31(135015.), None (2014)
- [43] Lars Andersson, Roland Beig, Bertil Schmidt, Elastic deformations of compact stars, Classical and quantum gravity, 31(None), 185006 (2014)
- [44] Andersson, L. “Cosmological models and stability”. J. Bicák, T. Ledvinka (eds.), General relativity, cosmology and astrophysics. Perspectives 100 years after Einstein's stay in Prague. Fundamental Theories of Physics, vol. 177, Springer 2014, pp. 277-303.
- [45] Lars Andersson, Peter Blue, John-Pierre Nicholas, A decay estimate for a wave equation with trapping and a complex potential, International Mathematics Research Notices, None(None), 548-561 (2013)
- [46] S., Andersson, Charges for linearized gravity, Classical and Quantum Gravity, 30(None), 155016 (2013)
- [47] L., Andersson, T., Barbot, F., Beguin, A., Zeghib, Cosmological time versus CMC time in spacetimes of constant curvature, Asian Journal of Mathematics, 16(None), 37-88 (2012)
- [48] Lim, W. C., Andersson, L., Garfinkle, D., Pretorius, F. “Spiky mixmaster dynamics”, Proceedings of the Twelfth Marcel Grossmann Meeting on General Relativity, edited by Thibault Damour, Robert T. Jantzen and Remo Ruffini., Singapore: World Scientific, 2012, p.1362
- [49] Allen, P., Andersson L., Restuccia, A., “Local well-posedness for membranes in the light cone gauge”, Comm. Math. Phys. 301 (2011), 383-410.
- [50] Lars Andersson, Victoria Moncrief, Einstein spaces as attractors for the Einstein flow, Journal of Differential Geometry, 89(None), 1-47 (2011)
- [51] Lars Andersson, Andrew Coley, EDITORIAL: Inhomogeneous cosmological models and averaging in cosmology: overview Inhomogeneous cosmological models and averaging in cosmology: overview, Classical and Quantum Gravity, 28(2011), None (2011)
- [52] Andersson, L., Oliynyk, T., Schmidt, B., Dynamical elastic bodies in Newtonian gravity, Classical and Quantum Gravity, 28(None), 235006 (2011)
- [53] Andersson, L., Eichmair, M., Metzger, J. “Jang's equation and its applications to marginally trapped surfaces”, Proceedings of CADS IV, pp. 13-46, edited by M. Agranowsky et al., Contemporary Mathematics vol. 554, AMS, Providence, R.I. 2011.
- [54] Lars Andersson, Roger Beig, Bent Schmidt, Rotating elastic bodies in Einstein gravity, Communications in Pure and Applied Mathematics, 63(None), 559-589 (2010)
- [55] Lars Andersson, Jan Metzger, Curvature estimates for stable marginally trapped surfaces, Journal of Differential Geometry, 84(None), 231-265 (2010)
- [56] Lars Andersson, Stefan Aksteiner, Linearized gravity and gauge conditions, Class. Quant. Grav., 28(065001), None (2010)
- [57] Lars Andersson, Jan Metzger, The area of horizons and the trapped region, Communications in Mathematical Physics, 290(2), 941-972 (2009)
- [58] Lars Andersson,Malte Mars,Jens Metzger,Wolfgang Simon, The time evolution of marginally trapped surfaces, Classical and Quantum Gravity, 26(8), 085018 (2009)
- [59] Andersson, L., Garfinkle, D., Lim, W.-C., Pretorius, F., “Spikes in the mixmaster regime of G2 cosmologies”, Phys. Rev. D., 79 (2009), 123526.
- [60] Andersson, L., Schmidt, B. “Static self-gravitating many-body systems in Einstein gravity”, Classical and Quantum Gravity. Class.Quant.Grav., 26 (2009), 165007.
- [61] Lars Andersson, The trapped region, Proceedings of the Spanish Relativity Meeting, Salamanca, 1122(3), None (2009)
- [62] Lars Andersson, Stability of doubly warped product spacetimes, New trends in Mathematical Physics, None(None), 23-32 (2009)
- [63] Lars Andersson, Robert Beig, Bernd Schmidt, Static self-gravitating elastic bodies in Einstein gravity, Communications in Pure and Applied Mathematics, 61(None), 988-1023 (2008)
- [64] Lars Andersson, Meng Fan Cai, Gregory Galloway, Rigidity and positivity of mass for asymptotically hyperbolic manifolds, Annales Henri Poincaré, 9(1-33), None (2008)
- [65] Lars Andersson, Marcus Mars, Willy Simon, Stability of marginally trapped surfaces and existence of marginally outer trapped tubes, Advances in Theoretical and Mathematical Physics, 12(None), 853-888 (2008)
- [66] Lars Andersson, Report on GRG18, Session A3: Mathematical Studies of the field equations, Classical and Quantum Gravity, 25(114016), None (2008)
- [67] Lars Andersson, Konstantin Bolejko, Apparent and average acceleration of the Universe, Journal of Cosmology and Astroparticle Physics, 10(003), None (2008)
- [68] Andersson, L., Heinzle, M. “Eternal acceleration from M-theory”, Advances in Theoretical and Mathematical Physics 11(2007), 371-398.
- [69] Lars Andersson, Timothée Barbot, Roberto Benedetti, François Bonsante, William Goldman, Frédéric Labourie, Jean-Marc Schlenker, Notes on a paper of Mess, Geometriae Dedicata, 126(2007), 47-70 (2007)
- [70] Lars Andersson, On the relation between mathematical and numerical relativity, Class.Quant.Grav., 23(None), S307-S318 (2006)
- [71] P., Andersson, L., Isenberg, J., Timelike minimal submanifolds of general co-dimension in Minkowski spacetime, Journal of Hyperbolic Differential Equations, 3(2006), 691-700 (2006)
- [72] Andersson, Geometric analysis and general relativity, invited article for the Encyclopedia of Mathematical Physics, None(None), 502-509 (2006)
- [73] L., Andersson, W.-C. Lim, C. Uggla, H. van Elst, Asymptotic silence of generic cosmological singularities, Phys. Rev. Lett., 94(051101.), None (2005)
- [74] Lars Andersson, Magnus Mars, Wayne Simon, Local existence of dynamical and trapping horizons, Phys. Rev. Lett., 95(111102), None (2005)
- [75] Lars Andersson, Constant mean curvature foliations of simplicial spacetimes, Comm. Anal. Geom., 13(None), 1-17 (2005)
- [76] L., Andersson, C., Uggla, H., van Elst, Gowdy phenomenology in scalefree variables, Classical and Quantum Gravity, 21(None), S29-S57 (2004)
- [77] Lars Andersson, Bel-Robinson energy and constant mean curvature foliations, Ann. Henri Poincaré, 5(2), 235-244 (2004)
- [78] L., Andersson, V., Moncrief, Future complete vacuum spacetimes, 50 years of the Cauchy problem in General Relativity, None(None), 299-330 (2004)
- [79] Andersson, On the global existence problem in General Relativity, None, 50 years of the Cauchy problem in General Relativity(None), 71-120 (2004)
- [80] Andersson, L., Moncrief, V. “Elliptic-hyperbolic systems and the Einstein equations”, Ann. Henri Poincaré, vol. 4, pp. 1-34, 2003.
- [81] Lars Andersson, Constant mean curvature foliations of flat space—times, Comm. Anal. Geom., 10(pp. 1094-1115), None (2002)
- [82] Lars Andersson, Gary Galloway, dS/CFT and spacetime topology, Advances in Theoretical and Mathematical Physics, 6(None), 307-328 (2002)
- [83] Lars Andersson, Quiescent cosmological singularities, Proceedings of XIII International Congress on Mathematical Physics, None(None), 251-256 (2001)
- [84] Andersson, L. “Quiescent cosmological singularities”, in Proceedings of XIII International Congress on Mathematical Physics. (London, 2000), Int. Press, Boston, MA, 2001, pp. 251-256.
- [85] Lars Andersson, Construction of hyperboloidal initial data, Lect.Notes Phys., 604(None), 183-194 (2001)
- [86] L. Andersson, Report on GR16, Session A3: Mathematical Studies of the Field Equations, Proceedings of the 16th international conference of the society of general relativity and gravitation, None(None), 363-373 (2001)
- [87] L., Andersson, B., Driver, Finite dimensional approximations to Wiener measure and path integral formulas on manifolds, J. Funct. Anal., 165(None), 430–498 (1999)
- [88] Andersson, L., Iriondo, M., “Existence of Hypersurfaces of Constant Mean Curvature in Asymptotically Flat Spacetimes”, Ann. Glob. Anal. Geom. vol. 17, pp. 503–538, 1999.
- [89] L., Andersson, M., Dahl, Scalar Curvature Rigidity for asymptotically locally hyperbolic manifolds, Ann. Glob. Anal. Geom., 16(1-27), None (1998)
- [90] Lars Andersson, G. J. Galloway, Richard Howard, A Strong Maximum Principle for Weak Solutions of Quasi-Linear Elliptic Equations with Applications to Lorentzian Geometry, Comm. Pure and Appl. Math., 51(None), 581–624 (1998)
- [91] L., Galloway, G. J., Howard, R., The Cosmological Time Function, Class. Quant. Grav., 15(2), 309–322 (1998)
- [92] Andersson, L., Howard, R., Comparison and Rigidity Theorems for Riemannian and semi-Riemannian manifolds, Comm. Anal. Geom., 6(pp. 819–877), None (1998)
- [93] Lars Andersson, Victoria Moncrief, Alfonso Jose Tromba, On the global evolution problem in 2+1 gravity, J. Geom. Phys., 23(None), 191–205 (1997)
- [94] Ingri, N., Andersson, I., Petterson, L., Yagasaki, A., Andersson, L., Holmström, K., The LAKE program - General Feature, Multimethod Data Treatment, and a Case Study with Combined Potentiometric and NMR Data, None, None(None), None (1997)
- [95] L., Chrusciel, On the Asymptotic Behaviour of Solutions of Constraint equations in general relativity satisfying hyperboloidal boundary conditions, Dissertationes Mathematicae, 355(None), None (1996)
- [96] Ingri, N., Andersson, I., Petterson, L., Yagasaki, A., Andersson, L., Holmström, K., LAKE –A program system for equilibrium analytical treatment of multimethod data, especially combined potentiometric and NMR data, Acta Chem. Scand, 50(717–734), None (1996)
- [97] L., Andersson, M., Dahl, R., Howard, Boundary and Lens Rigidity of Lorentzian Surfaces, Tr. A.M.S., 348(2307–2329), None (1996)
- [98] Andersson, L., Chrusciel, P. “On ‘hyperboloidal' Cauchy data for vacuum Einstein equations and obstructions to smoothness of Scri”, Comm. Math. Phys., vol. 161, pp. 533–568, 1994.
- [99] Andersson, L., Jawerth, B., Mitrea, M., The Cauchy Singular Integral Operator and Clifford Wavelets, Wavelets--Mathematics and applications in Wavelets--Mathematics and applications, None(None), 525-546 (1994)
- [100] Andersson, L., Hall, N., Jawerth, B., Peters, G. “Wavelets on Closed Subsets of the Real Line”, in Recent Advances in Wavelet Analysis, L. L. Schumaker, G. Webb (eds.), Academic Press, 1994, pp. 1–61.
- [101] Andersson, L., Chrusciel, P. “On ‘hyperboloidal' Cauchy data for vacuum Einsteins Equations and obstructions to smoothness of ‘null infinity' ”, Phys. Rev. Letters, vol. 70, pp. 2829-2832, May 1993. gr-qc/9304019
- [102] Andersson, Elliptic Systems on manifolds with Asymptotically Negative Curvature, Indiana U. Math. J., 42(None), 1359–1388 (1993)
- [103] Lars Andersson, Piotr Chrusciel, Helmut Friedrich, On the regularity of solutions to the Yamabe Equation and the existence of smooth hyperboloidal initial data for Einsteins equations, Comm. Math. Phys., 149(None), 587-612 (1992)
- [104] Andersson, L., Peters, G., Geometric Quantization on Wiener Manifolds, Stochastic Analysis and Applications, 26(None), None (1991)
- [105] Lars Andersson, On the Space of Asymptotically Euclidean Metrics, Compositio Mathematica, 69(null), 61-81 (1989)
- [106] Andersson, L., “On the Space of Asymptotically Flat Solutions of Einstein's Equations,” in Proceedings of the Fifth Marcel Grossmann Meeting, D.G. Blair and M.J. Buckingham, eds, World Scientific 1989
- [107] Lars Andersson, Invariant Lagrangian Subspaces, Proc. A.M.S., 103(None), 1113-1119 (1988)
- [108] Lars Andersson, Momenta and Reduction for General Relativity II: The Level Sets, Proceedings of the Miniconference on Mathematical Relativity, None(None), None (1988)
- [109] Andersson, L., Functional Integration and Geometric Quantization, Stochastic Analysis, Dynamics and Path Integration, 200(None), None (1988)
- [110] Andersson, L., Holmström, K., Algorithms for the computation of Formation Constants in Solution Chemistry, None, UMINF-140.88(None), None (1988)
- [111] Lars Andersson, Prequantization of Infinite Dimensional Dynamical Systems, J. Funct. Anal., 75(null), 58-91 (1987)
- [112] Andersson, Momenta and Reduction for General Relativity, J, 4(None), 289-314 (1987)
- [113] Andersson, L., Holmström, K., Ruhe, A., Complex Formation Constants, a Challenging Data Fitting Problem from Solution Chemistry, Algorithms for Approximation, None(None), None (1987)
- [114] L., Andersson, The Bonnet-Myers Theorem is True for Riemannian Hilbert Manifolds, Math. Scand., 58(None), 236-238 (1986)
- [115] Andersson, Best Approximations from Hilbert Submanifolds, J. Approx. Theory, None(None), None (1985)
- [116] Zhang, H., Andersson, L. “On the rough solutions of 3D compressible Euler equations: an alternative proof", submitted to Archive for Rational Mechanics and Analysis, arXiv:2104.12299
- [117] Andersson, L., Bäckdahl, T., Blue, P., Ma, S. “Nonlinear radiation gauge for near Kerr spacetimes", submitted to Comm. Math. Phys., arXiv:2108.03148
- [118] Oancea, M., Paganini, C., Joudioux, J., Andersson, L. “An overview of the gravitational spin Hall effect" arXiv:1904.09963
- [119] Andersson, L. “Mathematical Physics”, invited article for the Swedish National Encyclopedia
- [120] Andersson, L. “On the global existence problem in 3+1 Gravity”, Preprint IHES/M/00/18, grqc/0001047
更新时间: 2025-03-03 09:43:54