Gauge-fixing for the completion problem of reconstructed metric perturbations of a Kerr spacetime
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.
13 pages, revtex macros; improved version: new section added
References in corpus (5)
- Self-force and radiation reaction in general relativity
- Two-body gravitational spin-orbit interaction at linear order in the mass ratio
- Self-force corrections to the periapsis advance around a spinning black hole
- Linear-in-mass-ratio contribution to spin precession and tidal invariants in Schwarzschild spacetime at very high post-Newtonian order
- Analytical determination of the periastron advance in spinning binaries from self-force computations