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arXiv · 1809.02516

Gravitational self-force corrections to gyroscope precession along circular orbits in the Kerr spacetime

Donato Bini·Thibault Damour·Andrea Geralico·Chris Kavanagh·Maarten van de Meent
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Abstract

We generalize to Kerr spacetime previous gravitational self-force results on gyroscope precession along circular orbits in the Schwarzschild spacetime. In particular we present high order post- Newtonian expansions for the gauge invariant precession function along circular geodesics valid for arbitrary Kerr spin parameter and show agreement between these results and those derived from the full post-Newtonian conservative dynamics. Finally we present strong field numerical data for a range of the Kerr spin parameter, showing agreement with the GSF-PN results, and the expected lightring divergent behaviour. These results provide useful testing benchmarks for self- force calculations in Kerr spacetime, and provide an avenue for translating self-force data into the spin-spin coupling in effective-one-body models.

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Donato Bini, Thibault Damour, Andrea Geralico, Chris Kavanagh, Maarten van de Meent. 2018-09-07. Gravitational self-force corrections to gyroscope precession along circular orbits in the Kerr spacetime. https://doi.org/10.1103/physrevd.98.104062

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