Calculating the gravitational self force in Schwarzschild spacetime

Barack, Leor; Mino, Yasushi; Nakano, Hiroyuki; Ori, Amos; Sasaki, Misao

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Calculating the gravitational self force in Schwarzschild spacetime

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

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Barack, L., Mino, Y., Nakano, H., Ori, A., & Sasaki, M. (2002). Calculating the gravitational self force in Schwarzschild spacetime. Physical Review Letters, 88: 091101.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5478-2

Abstract

We present a practical method for calculating the local gravitational self-force (often called "radiation-reaction force") for a pointlike particle orbiting a Schwarzschild black hole. This is an implementation of the method of mode-sum regularization, in which one first calculates the (finite) contribution to the force due to each individual multipole mode of the perturbation, and then applies a certain regularization procedure to the mode sum. Here we give the values of all the "regularization parameters" required for implementing this regularization procedure, for any geodesic orbit in Schwarzschild spacetime