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Calculating the gravitational self-force in Schwarzschild spacetime

Calculating the gravitational self-force in Schwarzschild spacetime
Calculating the gravitational self-force in Schwarzschild spacetime
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.
0031-9007
091101-[4pp]
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Mino, Yasushi
26a46bac-755e-4be2-b993-0857379a8ce6
Nakano, Hiroyuki
a11bf0d8-b19e-48f2-a7fa-2da0742c32cc
Ori, Amos
a7e1cc9a-5d14-4e4e-bc3f-6eab0d2f9d64
Sasaki, Misao
5042302f-b7d9-463b-b780-a1f46705bce0
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Mino, Yasushi
26a46bac-755e-4be2-b993-0857379a8ce6
Nakano, Hiroyuki
a11bf0d8-b19e-48f2-a7fa-2da0742c32cc
Ori, Amos
a7e1cc9a-5d14-4e4e-bc3f-6eab0d2f9d64
Sasaki, Misao
5042302f-b7d9-463b-b780-a1f46705bce0

Barack, Leor, Mino, Yasushi, Nakano, Hiroyuki, Ori, Amos and Sasaki, Misao (2002) Calculating the gravitational self-force in Schwarzschild spacetime. Physical Review Letters, 88 (9), 091101-[4pp]. (doi:10.1103/PhysRevLett.88.091101).

Record type: Article

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.

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Published date: March 2002

Identifiers

Local EPrints ID: 29365
URI: http://eprints.soton.ac.uk/id/eprint/29365
ISSN: 0031-9007
PURE UUID: 27dbd55c-1b1a-408a-a15f-aafd49d4e6b4
ORCID for Leor Barack: ORCID iD orcid.org/0000-0003-4742-9413

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Date deposited: 12 May 2006
Last modified: 26 Nov 2019 01:46

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