Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription

Abstract

In this work we present an analytical gravitational self-force calculation of the spin-orbit precession along an eccentric orbit around a Schwarzschild black hole, following closely the recent prescription of Akcay, Dempsey, and Dolan. We then transcribe this quantity within the Effective-One-Body (EOB) formalism, thereby determining several new, linear-in-mass-ratio, contributions in the post-Newtonian expansion of the spin-orbit couplings entering the EOB Hamiltonian. Namely, we determine the second gyro-gravitomagnetic ratio $g_{S_{\ast }}(r,p_r,p_{\varphi })$ up to order $p_r^2/r^4$ included.

References in corpus (20)

• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
• Fourth post-Newtonian effective one-body dynamics
• A new effective-one-body description of coalescing nonprecessing spinning black-hole binaries
• High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
• Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
• Conservative, gravitational self-force for a particle in circular orbit around a Schwarzschild black hole in a Radiation Gauge
• 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
• Comparison Between Self-Force and Post-Newtonian Dynamics: Beyond Circular Orbits
• Analytic determination of the eight-and-a-half post-Newtonian self-force contributions to the two-body gravitational interaction potential
• 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
• Detweiler's gauge-invariant redshift variable: analytic determination of the nine and nine-and-a-half post-Newtonian self-force contributions
• Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling

Cited by in corpus (7)

• Foundations of an effective-one-body model for coalescing binaries on eccentric orbits
• Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory
• Self-Force Calculations with a Spinning Secondary
• Towards a gravitational self force-informed effective-one-body waveform model for nonprecessing, eccentric, large-mass-ratio inspirals
• 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
• Spin dynamics of a millisecond pulsar orbiting closely around a massive black hole
• High-order post-Newtonian expansion of the generalized redshift invariant for eccentric-orbit, equatorial extreme-mass-ratio inspirals with a spinning primary