Computing the gravitational self-force on a compact object plunging into a 
Schwarzschild black hole

Barack, Leor; Lousto, Carlos O.

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学術論文

Computing the gravitational self-force on a compact object plunging into a Schwarzschild black hole

MPS-Authors

Barack, Leor
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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引用

Barack, L., & Lousto, C. O. (2002). Computing the gravitational self-force on a compact object plunging into a Schwarzschild black hole. Physical Review D, 66:.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-547E-5

要旨

We compute the gravitational self-force (or "radiation reaction" force) acting on a particle falling radially into a Schwarzschild black hole. Our calculation is based on the "mode-sum" method, in which one first calculates the individual l-multipole contributions to the self-force (by numerically integrating the decoupled perturbation equations) and then regularizes the sum over modes by applying a certain analytic procedure. We demonstrate the equivalence of this method with the zeta-function scheme. The convergence rate of the mode-sum series is considerably improved here (thus reducing computational requirements) by employing an analytic approximation at large l