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Gravitational self force in extreme mass-ratio inspirals

Gravitational self force in extreme mass-ratio inspirals
Gravitational self force in extreme mass-ratio inspirals
This review is concerned with the gravitational self-force acting on a mass particle in orbit around a large black hole. Renewed interest in this old problem is driven by the prospects of detecting gravitational waves from strongly gravitating binaries with extreme mass ratios. We begin here with a summary of recent advances in the theory of gravitational self-interaction in curved spacetime, and proceed to survey some of the ideas and computational strategies devised for implementing this theory in the case of a particle orbiting a Kerr black hole. We review in detail two of these methods: (i) the standard mode-sum method, in which the metric perturbation is regularized mode-by-mode in a multipole decomposition, and (ii) m-mode regularization, whereby individual azimuthal modes of the metric perturbation are regularized in 2+1 dimensions. We discuss several practical issues that arise, including the choice of gauge, the numerical representation of the particle singularity, and how high-frequency contributions near the particle are dealt with in frequency-domain calculations. As an example of a full end-to-end implementation of the mode-sum method, we discuss the computation of the gravitational self-force for eccentric geodesic orbits in Schwarzschild, using a direct integration of the Lorenz-gauge perturbation equations in the time domain. With the computational framework now in place, researchers have recently turned to explore the physical consequences of the gravitational self-force; we will describe some preliminary results in this area. An appendix to this review presents, for the first time, a detailed derivation of the 'regularization parameters' necessary for implementing the mode-sum method in Kerr spacetime.
0264-9381
213001-213056
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298

Barack, Leor (2009) Gravitational self force in extreme mass-ratio inspirals. Classical and Quantum Gravity, 26 (21), 213001-213056. (doi:10.1088/0264-9381/26/21/213001).

Record type: Article

Abstract

This review is concerned with the gravitational self-force acting on a mass particle in orbit around a large black hole. Renewed interest in this old problem is driven by the prospects of detecting gravitational waves from strongly gravitating binaries with extreme mass ratios. We begin here with a summary of recent advances in the theory of gravitational self-interaction in curved spacetime, and proceed to survey some of the ideas and computational strategies devised for implementing this theory in the case of a particle orbiting a Kerr black hole. We review in detail two of these methods: (i) the standard mode-sum method, in which the metric perturbation is regularized mode-by-mode in a multipole decomposition, and (ii) m-mode regularization, whereby individual azimuthal modes of the metric perturbation are regularized in 2+1 dimensions. We discuss several practical issues that arise, including the choice of gauge, the numerical representation of the particle singularity, and how high-frequency contributions near the particle are dealt with in frequency-domain calculations. As an example of a full end-to-end implementation of the mode-sum method, we discuss the computation of the gravitational self-force for eccentric geodesic orbits in Schwarzschild, using a direct integration of the Lorenz-gauge perturbation equations in the time domain. With the computational framework now in place, researchers have recently turned to explore the physical consequences of the gravitational self-force; we will describe some preliminary results in this area. An appendix to this review presents, for the first time, a detailed derivation of the 'regularization parameters' necessary for implementing the mode-sum method in Kerr spacetime.

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Published date: November 2009
Additional Information: Topical review

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Local EPrints ID: 79817
URI: https://eprints.soton.ac.uk/id/eprint/79817
ISSN: 0264-9381
PURE UUID: ea90ea71-4e33-417f-854e-1755976d36e1

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Date deposited: 22 Mar 2010
Last modified: 18 Jul 2017 23:16

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Author: Leor Barack

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