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Gravitational self-force on generic bound geodesics in Kerr spacetime

Gravitational self-force on generic bound geodesics in Kerr spacetime
Gravitational self-force on generic bound geodesics in Kerr spacetime

In this work we present the first calculation of the gravitational self-force on generic bound geodesics in Kerr spacetime to first order in the mass ratio. That is, the local correction to equations of motion for a compact object orbiting a larger rotating black hole due to its own impact on the gravitational field. This includes both dissipative and conservative effects. Our method builds on and extends earlier methods for calculating the gravitational self-force on equatorial orbits. In particular we reconstruct the local metric perturbation in the outgoing radiation gauge from the Weyl scalar ψ4, which in turn is obtained by solving the Teukolsky equation using semianalytical frequency domain methods. The gravitational self-force is subsequently obtained using (spherical) l-mode regularization. We test our implementation by comparing the large l-behavior against the analytically known regularization parameters. In addition we validate our results by comparing the long-term average changes to the energy, angular momentum, and Carter constant to changes to these constants of motion inferred from the gravitational wave flux to infinity and down the horizon.

2470-0010
1-20
Van De Meent, Maarten
c06e1d53-18af-4ef1-8671-ff99b1a1df22
Van De Meent, Maarten
c06e1d53-18af-4ef1-8671-ff99b1a1df22

Van De Meent, Maarten (2018) Gravitational self-force on generic bound geodesics in Kerr spacetime. Physical Review D, 97 (10), 1-20. (doi:10.1103/PhysRevD.97.104033).

Record type: Article

Abstract

In this work we present the first calculation of the gravitational self-force on generic bound geodesics in Kerr spacetime to first order in the mass ratio. That is, the local correction to equations of motion for a compact object orbiting a larger rotating black hole due to its own impact on the gravitational field. This includes both dissipative and conservative effects. Our method builds on and extends earlier methods for calculating the gravitational self-force on equatorial orbits. In particular we reconstruct the local metric perturbation in the outgoing radiation gauge from the Weyl scalar ψ4, which in turn is obtained by solving the Teukolsky equation using semianalytical frequency domain methods. The gravitational self-force is subsequently obtained using (spherical) l-mode regularization. We test our implementation by comparing the large l-behavior against the analytically known regularization parameters. In addition we validate our results by comparing the long-term average changes to the energy, angular momentum, and Carter constant to changes to these constants of motion inferred from the gravitational wave flux to infinity and down the horizon.

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Accepted/In Press date: 11 April 2018
e-pub ahead of print date: 21 May 2018
Published date: May 2018

Identifiers

Local EPrints ID: 421677
URI: https://eprints.soton.ac.uk/id/eprint/421677
ISSN: 2470-0010
PURE UUID: d6a2995b-df6f-40e1-b10a-6e648eda1c6a

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Date deposited: 21 Jun 2018 16:30
Last modified: 13 Mar 2019 18:21

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