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Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole

Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
The innermost stable circular orbit (ISCO) of a test particle around a Schwarzschild black hole of mass M is located at r_ isco=6M G/c^2 (Schwarzschild coordinate radius). If the particle is endowed with mass ?(\ll M), it experiences a gravitational self-force whose conservative piece alters the location of the ISCO. Here we calculate the resulting shifts ? r_ isco and ??_ isco in the ISCO's radius and frequency, at leading order in the mass ratio ?/M. We obtain ? r_ isco=-3.27 ? G/c^2 (in the Lorenz gauge) and ??_ isco/?_ isco=0.487 ?/M (gauge invariant). We discuss the implications of our result within the context of extreme mass-ratio binary inspirals.
0031-9007
1-4
Barack, L.
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Sago, N.
e1723c95-55a9-40f6-a17a-d813486166d1
Barack, L.
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Sago, N.
e1723c95-55a9-40f6-a17a-d813486166d1

Barack, L. and Sago, N. (2009) Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole. Physical Review Letters, 102 (19), 1-4. (doi:10.1103/PhysRevLett.102.191101).

Record type: Article

Abstract

The innermost stable circular orbit (ISCO) of a test particle around a Schwarzschild black hole of mass M is located at r_ isco=6M G/c^2 (Schwarzschild coordinate radius). If the particle is endowed with mass ?(\ll M), it experiences a gravitational self-force whose conservative piece alters the location of the ISCO. Here we calculate the resulting shifts ? r_ isco and ??_ isco in the ISCO's radius and frequency, at leading order in the mass ratio ?/M. We obtain ? r_ isco=-3.27 ? G/c^2 (in the Lorenz gauge) and ??_ isco/?_ isco=0.487 ?/M (gauge invariant). We discuss the implications of our result within the context of extreme mass-ratio binary inspirals.

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Published date: 2009
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 66043
URI: https://eprints.soton.ac.uk/id/eprint/66043
ISSN: 0031-9007
PURE UUID: c78a3053-ee0f-4cb8-b756-1b4f5846abcd

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Date deposited: 22 Apr 2009
Last modified: 19 Jul 2017 00:28

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