Analytical determination of the periastron advance in spinning binaries from self-force computations
arXiv:1907.11083 · doi:10.1103/PhysRevD.100.121502
Abstract
We present the first analytical computation of the (conservative) gravitational self-force correction to the periastron advance around a spinning black hole. Our result is accurate to the second order in the rotational parameter and through the 9.5 post-Newtonian level. It has been obtained as the circular limit of the correction to the gyroscope precession invariant along slightly eccentric equatorial orbits in the Kerr spacetime. The latter result is also new and we anticipate here the first few terms only of the corresponding post-Newtonian expansion.
6 pages, 1 figure, revtex macros
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Cited by in corpus (4)
- Analytic post-Newtonian expansion of the energy and angular momentum radiated to infinity by eccentric-orbit non-spinning extreme-mass-ratio inspirals to 19PN
- Determination of new coefficients in the angular momentum and energy fluxes at infinity to 9PN for eccentric Schwarzschild extreme-mass-ratio inspirals using mode-by-mode fitting
- New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: gyroscope precession
- Gauge-fixing for the completion problem of reconstructed metric perturbations of a Kerr spacetime