Self-Force corrections to the periapsis advance around a spinning black hole
Self-Force corrections to the periapsis advance around a spinning black hole
The linear in mass ratio correction to the periapsis advance of equatorial nearly circular orbits around a spinning black hole is calculated for the first time and to a very high precision, providing a key benchmark for different approaches modeling spinning binaries. The high precision of the calculation is leveraged to discriminate between two recent incompatible derivations of the 4 post-Newtonian equations of motion. Finally, the limit of the periapsis advance near the innermost stable orbit (ISCO) allows the determination of the ISCO shift, validating previous calculations using the first law of binary mechanics. Calculation of the ISCO shift is further extended into the near-extremal regime (with spins up to 1−a=10−20), revealing new unexpected phenomenology. In particular, we find that the shift of the ISCO does not have a well-defined extremal limit but instead continues to oscillate.
Van De Meent, Maarten
c06e1d53-18af-4ef1-8671-ff99b1a1df22
Van De Meent, Maarten
c06e1d53-18af-4ef1-8671-ff99b1a1df22
Van De Meent, Maarten
(2017)
Self-Force corrections to the periapsis advance around a spinning black hole.
Physical Review Letters, 118 (011101).
(doi:10.1103/PhysRevLett.118.011101).
Abstract
The linear in mass ratio correction to the periapsis advance of equatorial nearly circular orbits around a spinning black hole is calculated for the first time and to a very high precision, providing a key benchmark for different approaches modeling spinning binaries. The high precision of the calculation is leveraged to discriminate between two recent incompatible derivations of the 4 post-Newtonian equations of motion. Finally, the limit of the periapsis advance near the innermost stable orbit (ISCO) allows the determination of the ISCO shift, validating previous calculations using the first law of binary mechanics. Calculation of the ISCO shift is further extended into the near-extremal regime (with spins up to 1−a=10−20), revealing new unexpected phenomenology. In particular, we find that the shift of the ISCO does not have a well-defined extremal limit but instead continues to oscillate.
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Accepted/In Press date: 7 December 2016
e-pub ahead of print date: 3 January 2017
Organisations:
Applied Mathematics
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Local EPrints ID: 406899
URI: http://eprints.soton.ac.uk/id/eprint/406899
ISSN: 0031-9007
PURE UUID: 3bc68a58-3bab-47a2-8bda-f5dc0f19e0a9
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Date deposited: 25 Mar 2017 02:07
Last modified: 15 Mar 2024 12:30
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Author:
Maarten Van De Meent
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