The University of Southampton
University of Southampton Institutional Repository

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.

This record has no associated files available for download.

More information

Published date: 2009
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 66043
URI: http://eprints.soton.ac.uk/id/eprint/66043
ISSN: 0031-9007
PURE UUID: c78a3053-ee0f-4cb8-b756-1b4f5846abcd
ORCID for L. Barack: ORCID iD orcid.org/0000-0003-4742-9413

Catalogue record

Date deposited: 22 Apr 2009
Last modified: 14 Mar 2024 02:49

Export record

Altmetrics

Contributors

Author: L. Barack ORCID iD
Author: N. Sago

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×