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Gravitational self-torque and spin precession in compact binaries

Gravitational self-torque and spin precession in compact binaries
Gravitational self-torque and spin precession in compact binaries
We calculate the effect of self-interaction on the “geodetic” spin precession of a compact body in a strong-field orbit around a black hole. Specifically, we consider the spin precession angle ? per radian of orbital revolution for a particle carrying mass ? and spin s?(G/c)?2 in a circular orbit around a Schwarzschild black hole of mass M??. We compute ? through O(?/M) in perturbation theory, i.e, including the correction ?? (obtained numerically) due to the torque exerted by the conservative piece of the gravitational self-field. Comparison with a post-Newtonian (PN) expression for ??, derived here through 3PN order, shows good agreement but also reveals strong-field features which are not captured by the latter approximation. Our results can inform semianalytical models of the strong-field dynamics in astrophysical binaries, important for ongoing and future gravitational-wave searches
1550-7998
64011
Dolan, Sam R.
ee9c2137-170a-4942-9655-862a98f389c2
Warburton, Niels
88d3f12e-d930-438d-bb54-071292b0c1dc
Harte, Abraham I.
d249c126-7982-4150-8c7a-0f9bd6833ec0
Le Tiec, Alexandre
5d68182b-445c-454b-9c38-627c1788515a
Wardell, Barry
70b41899-32ac-4585-888b-aaf28fd70ad5
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Dolan, Sam R.
ee9c2137-170a-4942-9655-862a98f389c2
Warburton, Niels
88d3f12e-d930-438d-bb54-071292b0c1dc
Harte, Abraham I.
d249c126-7982-4150-8c7a-0f9bd6833ec0
Le Tiec, Alexandre
5d68182b-445c-454b-9c38-627c1788515a
Wardell, Barry
70b41899-32ac-4585-888b-aaf28fd70ad5
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298

Dolan, Sam R., Warburton, Niels, Harte, Abraham I., Le Tiec, Alexandre, Wardell, Barry and Barack, Leor (2014) Gravitational self-torque and spin precession in compact binaries. Physical Review D, 89 (6), 64011. (doi:10.1103/PhysRevD.89.064011).

Record type: Article

Abstract

We calculate the effect of self-interaction on the “geodetic” spin precession of a compact body in a strong-field orbit around a black hole. Specifically, we consider the spin precession angle ? per radian of orbital revolution for a particle carrying mass ? and spin s?(G/c)?2 in a circular orbit around a Schwarzschild black hole of mass M??. We compute ? through O(?/M) in perturbation theory, i.e, including the correction ?? (obtained numerically) due to the torque exerted by the conservative piece of the gravitational self-field. Comparison with a post-Newtonian (PN) expression for ??, derived here through 3PN order, shows good agreement but also reveals strong-field features which are not captured by the latter approximation. Our results can inform semianalytical models of the strong-field dynamics in astrophysical binaries, important for ongoing and future gravitational-wave searches

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PhysRevD.89.064011 - Version of Record
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Published date: 6 March 2014
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 369461
URI: https://eprints.soton.ac.uk/id/eprint/369461
ISSN: 1550-7998
PURE UUID: 912969bc-ade4-49bb-88fc-9e042380635e
ORCID for Leor Barack: ORCID iD orcid.org/0000-0003-4742-9413

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Date deposited: 26 Sep 2014 13:34
Last modified: 29 Oct 2019 01:50

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Contributors

Author: Sam R. Dolan
Author: Niels Warburton
Author: Abraham I. Harte
Author: Alexandre Le Tiec
Author: Barry Wardell
Author: Leor Barack ORCID iD

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