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High post-Newtonian order gravitational self-force analytical results for eccentric orbits around a Kerr black hole

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arxiv 1602.08282 v1 pith:VVLZU234 submitted 2016-02-26 gr-qc

Donato Bini , Thibault Damour , Andrea Geralico This is my paper · ORCID
classification gr-qc
keywords orderaroundblackeccentriceccentricityholepost-newtonianredshift
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We present the first analytic computation of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in {\it eccentric} orbit around a {\it spinning} black hole. Our results give the redshift contributions that mix eccentricity and spin effects, through second order in eccentricity, second order in spin parameter, and the eight-and-a-half post-Newtonian order.

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  1. Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit

    gr-qc 2025-07 conditional novelty 7.0 of 10

    First-order metric perturbations and the generalized redshift invariant are computed for eccentric, precessing orbits in Kerr spacetime using four metric reconstruction methods, with open-source code provided.

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