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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
Computing the gravitational self-force on a compact object plunging into a Schwarzschild black hole
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 l-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 ?-function scheme. The convergence rate of the mode-sum series is considerably improved here (thus reducing computational requirements) by employing an analytic approximation at large l.
1550-7998
061502-[5pp]
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Lousto, Carlos O.
afa05f00-0bf8-4ecc-8ac4-0506e1feda03
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Lousto, Carlos O.
afa05f00-0bf8-4ecc-8ac4-0506e1feda03

Barack, Leor and Lousto, Carlos O. (2002) Computing the gravitational self-force on a compact object plunging into a Schwarzschild black hole. Physical Review D, 66 (6), 061502-[5pp]. (doi:10.1103/PhysRevD.66.061502).

Record type: Article

Abstract

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 l-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 ?-function scheme. The convergence rate of the mode-sum series is considerably improved here (thus reducing computational requirements) by employing an analytic approximation at large l.

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Published date: 2002

Identifiers

Local EPrints ID: 29366
URI: http://eprints.soton.ac.uk/id/eprint/29366
ISSN: 1550-7998
PURE UUID: 72175b14-b3a1-400f-922e-ff9d74ffe486
ORCID for Leor Barack: ORCID iD orcid.org/0000-0003-4742-9413

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Date deposited: 12 May 2006
Last modified: 03 Dec 2019 01:48

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