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

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arxiv 1907.11082 v1 pith:XY5S4HFA submitted 2019-07-23 gr-qc

Donato Bini , Andrea Geralico This is my paper · ORCID
classification gr-qc
keywords resultseccentricequatorialgravitationalgyroscopekerrorbitsorder
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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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  1. Gauge-fixing for the completion problem of reconstructed metric perturbations of a Kerr spacetime

    gr-qc 2019-08 conditional novelty 7.0 of 10

    A two-condition gauge-fixing prescription determines the nonradiative gauge piece of Kerr metric perturbations for eccentric equatorial orbits.

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