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Calculating the gravitational self force in Schwarzschild spacetime

Leor Barack·Yasushi Mino·Hiroyuki Nakano·Amos Ori·Misao Sasaki
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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 {\it 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.

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Leor Barack, Yasushi Mino, Hiroyuki Nakano, Amos Ori, Misao Sasaki. 2002-02-14. Calculating the gravitational self force in Schwarzschild spacetime. https://doi.org/10.1103/physrevlett.88.091101

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