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arXiv · 1907.11082

New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: gyroscope precession

Donato Bini·Andrea Geralico
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Abstract

We analytically compute the gravitational self-force correction to the gyroscope precession along slightly eccentric equatorial orbits in the Kerr spacetime, generalizing previous results for the Schwarzschild spacetime. Our results are accurate through the 9.5 post-Newtonian order and to second order in both eccentricity and rotation parameter. We also provide a post-Newtonian check of our results based on the currently known Hamiltonian for spinning binaries.

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Donato Bini, Andrea Geralico. 2019-07-23. New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: gyroscope precession. https://doi.org/10.1103/physrevd.100.104003

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