Spin-orbit precession along eccentric orbits: improving the knowledge of self-force corrections and of their effective-one-body counterparts

Abstract

The (first-order) gravitational self-force correction to the spin-orbit precession of a spinning compact body along a slightly eccentric orbit around a Schwarzschild black hole is computed through the ninth post-Newtonian order, improving recent results by Kavanagh et al. [Phys.\ Rev.\ D {\bf 96}, 064012 (2017).] This information is then converted into its corresponding Effective-One-Body counterpart, thereby determining several new post-Newtonian terms in the gyrogravitomagnetic ratio $g_{S\ast }$.

17 pages, 3 figures, revtex macros

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• Two-body gravitational spin-orbit interaction at linear order in the mass ratio
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• 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
• Linear-in-mass-ratio contribution to spin precession and tidal invariants in Schwarzschild spacetime at very high post-Newtonian order

Cited by in corpus (18)

• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Gravitational spin-orbit coupling through third-subleading post-Newtonian order: from first-order self-force to arbitrary mass ratios
• Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime
• Hamiltonians and canonical coordinates for spinning particles in curved space-time
• Physics of eccentric binary black hole mergers: A numerical relativity perspective
• 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
• Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime
• 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: gyroscope precession
• Post-Newtonian expansion of the spin-precession invariant for eccentric-orbit non-spinning extreme-mass-ratio inspirals to 9PN and $e^{16}$
• High-order post-Newtonian expansion of the redshift invariant for eccentric-orbit non-spinning extreme-mass-ratio inspirals
• Gravitational self-force corrections to tidal invariants for particles on eccentric orbits in a Schwarzschild spacetime
• Analytical determination of the periastron advance in spinning binaries from self-force computations
• Gravitational self-force corrections to tidal invariants for particles on circular orbits in a Kerr spacetime
• High-order post-Newtonian expansion of the generalized redshift invariant for eccentric-orbit, equatorial extreme-mass-ratio inspirals with a spinning primary
• Black hole geodesic parallel transport and the Marck recipe for isolating cumulative precession effects
• Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit