Octupolar invariants for compact binaries on quasicircular orbits
We extend the gravitational self-force methodology to identify and compute new O(μ) tidal invariants for a compact body of mass μ on a quasicircular orbit about a black hole of mass M≫μ. In the octupolar sector we find seven new degrees of freedom, made up of 3+3 conservative/dissipative ‘electric’...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/100560 |
| _version_ | 1826196509386866688 |
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| author | Nolan, Patrick Kavanagh, Chris Dolan, Sam R. Ottewill, Adrian C. Wardell, Barry Warburton, Niels J |
| author2 | MIT Kavli Institute for Astrophysics and Space Research |
| author_facet | MIT Kavli Institute for Astrophysics and Space Research Nolan, Patrick Kavanagh, Chris Dolan, Sam R. Ottewill, Adrian C. Wardell, Barry Warburton, Niels J |
| author_sort | Nolan, Patrick |
| collection | MIT |
| description | We extend the gravitational self-force methodology to identify and compute new O(μ) tidal invariants for a compact body of mass μ on a quasicircular orbit about a black hole of mass M≫μ. In the octupolar sector we find seven new degrees of freedom, made up of 3+3 conservative/dissipative ‘electric’ invariants and 3+1 ‘magnetic’ invariants, satisfying 1+1 and 1+0 trace conditions. We express the new invariants for equatorial circular orbits on Kerr spacetime in terms of the regularized metric perturbation and its derivatives; and we evaluate the expressions in the Schwarzschild case. We employ both Lorenz gauge and Regge-Wheeler gauge numerical codes, and the functional series method of Mano, Suzuki and Takasugi. We present (i) highly-accurate numerical data and (ii) high-order analytical post-Newtonian expansions. We demonstrate consistency between numerical and analytical results, and prior work. We explore the application of these invariants in effective one-body models and binary black hole initial-data formulations. |
| first_indexed | 2024-09-23T10:28:05Z |
| format | Article |
| id | mit-1721.1/100560 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:28:05Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1005602022-09-30T21:22:50Z Octupolar invariants for compact binaries on quasicircular orbits Nolan, Patrick Kavanagh, Chris Dolan, Sam R. Ottewill, Adrian C. Wardell, Barry Warburton, Niels J MIT Kavli Institute for Astrophysics and Space Research Warburton, Niels J. We extend the gravitational self-force methodology to identify and compute new O(μ) tidal invariants for a compact body of mass μ on a quasicircular orbit about a black hole of mass M≫μ. In the octupolar sector we find seven new degrees of freedom, made up of 3+3 conservative/dissipative ‘electric’ invariants and 3+1 ‘magnetic’ invariants, satisfying 1+1 and 1+0 trace conditions. We express the new invariants for equatorial circular orbits on Kerr spacetime in terms of the regularized metric perturbation and its derivatives; and we evaluate the expressions in the Schwarzschild case. We employ both Lorenz gauge and Regge-Wheeler gauge numerical codes, and the functional series method of Mano, Suzuki and Takasugi. We present (i) highly-accurate numerical data and (ii) high-order analytical post-Newtonian expansions. We demonstrate consistency between numerical and analytical results, and prior work. We explore the application of these invariants in effective one-body models and binary black hole initial-data formulations. National Science Foundation (U.S.) (Grant 1417132) Marie Curie International Outgoing Fellowship (PIOF-GA-2012- 627781) Irish Research Council 2015-12-30T02:48:21Z 2015-12-30T02:48:21Z 2015-12 2015-08 2015-12-23T23:00:11Z Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/100560 Nolan, Patrick, Chris Kavanagh, Sam R. Dolan, Adrian C. Ottewill, Niels Warburton, and Barry Wardell. "Octupolar invariants for compact binaries on quasicircular orbits." Phys. Rev. D 92, 123008 (December 2015). © 2015 American Physical Society en http://dx.doi.org/10.1103/PhysRevD.92.123008 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Nolan, Patrick Kavanagh, Chris Dolan, Sam R. Ottewill, Adrian C. Wardell, Barry Warburton, Niels J Octupolar invariants for compact binaries on quasicircular orbits |
| title | Octupolar invariants for compact binaries on quasicircular orbits |
| title_full | Octupolar invariants for compact binaries on quasicircular orbits |
| title_fullStr | Octupolar invariants for compact binaries on quasicircular orbits |
| title_full_unstemmed | Octupolar invariants for compact binaries on quasicircular orbits |
| title_short | Octupolar invariants for compact binaries on quasicircular orbits |
| title_sort | octupolar invariants for compact binaries on quasicircular orbits |
| url | http://hdl.handle.net/1721.1/100560 |
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