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Gauge-fixing for the completion problem of reconstructed metric perturbations of a Kerr spacetime

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arxiv 1908.03191 v2 pith:UZNIQKTV submitted 2019-08-08 gr-qc

Donato Bini , Andrea Geralico This is my paper · ORCID
classification gr-qc
keywords kerrorbitscompletioneccentricmetricproblemschwarzschildspacetime
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We provide a prescription to solve the metric completion problem in gravitational self-force calculations on a Kerr spacetime by fixing the remaining gauge freedom. We discuss the explicit example of eccentric equatorial orbits, recovering all limiting cases already studied in the literature of eccentric orbits in Schwarzschild as well as circular orbits in both Schwarzschild and Kerr spacetimes.

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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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