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

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van de Meent,  Maarten
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1809.02516.pdf
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Citation

Bini, D., Damour, T., Geralico, A., Kavanagh, C., & van de Meent, M. (2018). Gravitational self-force corrections to gyroscope precession along circular orbits in the Kerr spacetime. Physical Review D, 98: 104062. doi:10.1103/PhysRevD.98.104062.


Cite as: https://hdl.handle.net/21.11116/0000-0002-4AE9-5
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.