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BIMSA General Relativity Seminar
Analytic Integrability of Spinning Particle Dynamics in Black Hole Spacetimes
Analytic Integrability of Spinning Particle Dynamics in Black Hole Spacetimes
组织者
演讲者
Vojtěch Witzany
时间
2025年10月31日 16:30 至 17:30
地点
A3-2-301
线上
Zoom 787 662 9899
(BIMSA)
摘要
The inclusion of spin in test-particle dynamics introduces spin-curvature coupling, breaking the separability that makes Kerr and Schwarzschild geodesics analytically tractable. I will discuss two complementary analytic treatments that restore integrability to linear order in spin. First, for arbitrary static, spherically symmetric spacetimes, including Schwarzschild and various exotic compact objects, the motion of a spinning test particle can be solved in closed form via one-dimensional quadratures, with bound orbits expressible in Jacobi elliptic functions. Second, in Kerr spacetime, a hidden symmetry associated with the conformal Killing-Yano tensor enables a worldline shift that restores separability of the equations of motion. The resulting analytic solution parallels the geodesic case and provides a natural generalization of Carter’s results to spinning bodies. These developments unify our understanding of integrability, separability, and analytic solvability of spinning-particle motion, with applications to gravitational-wave modeling for LISA.
演讲者介绍
Vojtěch Witzany completed his PhD at the University of Bremen, where he studied black hole accretion disks under the supervision of Claus Lämmerzahl. He subsequently held a postdoctoral position at the Czech Academy of Sciences and a Marie Skłodowska-Curie Fellowship at University College Dublin. He is currently leading a small research group at Charles University in Prague, Czech Republic. Vojtěch’s research focuses on black hole astrophysics, particularly on orbital dynamics and waveform modeling of extreme mass ratio inspirals for the Laser Interferometer Space Antenna (LISA) mission.