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

2019/08/08 by Bini, Donato, Geralico, Andrea · 1 citation
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.1908.03191

Abstract

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

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