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.
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
March 2002
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), .
(doi:10.1103/PhysRevLett.88.091101).
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
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Local EPrints ID: 29365
URI: http://eprints.soton.ac.uk/id/eprint/29365
ISSN: 0031-9007
PURE UUID: 27dbd55c-1b1a-408a-a15f-aafd49d4e6b4
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Date deposited: 12 May 2006
Last modified: 16 Mar 2024 03:41
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Contributors
Author:
Yasushi Mino
Author:
Hiroyuki Nakano
Author:
Amos Ori
Author:
Misao Sasaki
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