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

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

2002-05-10

arxiv.org/abs/gr-qc/0205043v2

Phys.Rev. D66 (2002) 061502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 Pages, 3 Figs., REVTEX 4.0. Version to appear in Rapid Communications of Physical Review D

Scientific paper

10.1103/PhysRevD.66.061502

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 $\ell$-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 notably reducing computational requirements) by employing an analytic approximation at large $\ell$.

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