New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: gyroscope precession

Abstract

We analytically compute the gravitational self-force correction to the gyroscope precession along slightly eccentric equatorial orbits in the Kerr spacetime, generalizing previous results for the Schwarzschild spacetime. Our results are accurate through the 9.5 post-Newtonian order and to second order in both eccentricity and rotation parameter. We also provide a post-Newtonian check of our results based on the currently known Hamiltonian for spinning binaries.

19 pages, revtex macros

References in corpus (17)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Self-force and radiation reaction in general relativity
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• Two-body gravitational spin-orbit interaction at linear order in the mass ratio
• Completion of metric reconstruction for a particle orbiting a Kerr black hole
• Analytic determination of high-order post-Newtonian self-force contributions to gravitational spin precession
• Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio
• Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription
• Gyroscope precession along bound equatorial plane orbits around a Kerr black hole
• Spin-orbit precession along eccentric orbits: improving the knowledge of self-force corrections and of their effective-one-body counterparts
• Gravitational self-force corrections to gyroscope precession along circular orbits in the Kerr spacetime
• New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: redshift invariant
• Analytical determination of the periastron advance in spinning binaries from self-force computations

Cited by in corpus (9)

• Self-Force Calculations with a Spinning Secondary
• Gravitational spin-orbit and aligned spin${}_1$-spin${}_2$ couplings through third-subleading post-Newtonian orders
• New metric reconstruction scheme for gravitational self-force calculations
• 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: redshift invariant
• Post-Newtonian expansion of the spin-precession invariant for eccentric-orbit non-spinning extreme-mass-ratio inspirals to 9PN and $e^{16}$
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Analytical determination of the periastron advance in spinning binaries from self-force computations