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Second-Order Self-Force Calculation of Gravitational Binding Energy in Compact Binaries

Second-Order Self-Force Calculation of Gravitational Binding Energy in Compact Binaries
Second-Order Self-Force Calculation of Gravitational Binding Energy in Compact Binaries
Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, {\em second-order} self-force effects are critical, but calculations of these effects have been beset by obstacles. In this letter we present the first implementation of a complete scheme for second-order self-force computations, specialized to the case of quasicircular orbits about a Schwarzschild black hole. As a demonstration, we calculate the gravitational binding energy of these binaries.
1079-7114
Pound, Adam
5aac971a-0e07-4383-aff0-a21d43103a70
Wardell, Barry
70b41899-32ac-4585-888b-aaf28fd70ad5
Warburton, Niels
03087256-aa46-485d-8ac0-da73dd66ed61
Miller, Jeremy
35ef0e88-726a-444d-b502-1c2b828fa80d
Pound, Adam
5aac971a-0e07-4383-aff0-a21d43103a70
Wardell, Barry
70b41899-32ac-4585-888b-aaf28fd70ad5
Warburton, Niels
03087256-aa46-485d-8ac0-da73dd66ed61
Miller, Jeremy
35ef0e88-726a-444d-b502-1c2b828fa80d

Pound, Adam, Wardell, Barry, Warburton, Niels and Miller, Jeremy (2020) Second-Order Self-Force Calculation of Gravitational Binding Energy in Compact Binaries. Physical Review Letters, 124 (2), [021101]. (doi:10.1103/PhysRevLett.124.021101).

Record type: Article

Abstract

Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, {\em second-order} self-force effects are critical, but calculations of these effects have been beset by obstacles. In this letter we present the first implementation of a complete scheme for second-order self-force computations, specialized to the case of quasicircular orbits about a Schwarzschild black hole. As a demonstration, we calculate the gravitational binding energy of these binaries.

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1908.07419 - Accepted Manuscript
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Accepted/In Press date: 21 November 2019
e-pub ahead of print date: 14 January 2020
Published date: 17 January 2020

Identifiers

Local EPrints ID: 436119
URI: http://eprints.soton.ac.uk/id/eprint/436119
ISSN: 1079-7114
PURE UUID: d20479a2-df0a-4ab9-990d-b303ee149893
ORCID for Adam Pound: ORCID iD orcid.org/0000-0001-9446-0638

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Date deposited: 29 Nov 2019 17:30
Last modified: 17 Mar 2024 03:27

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Contributors

Author: Adam Pound ORCID iD
Author: Barry Wardell
Author: Niels Warburton
Author: Jeremy Miller

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