Gravitational self-force corrections to tidal invariants for particles on eccentric orbits in a Schwarzschild spacetime
arXiv:1806.06635 · doi:10.1103/PhysRevD.98.064026
Abstract
We study tidal effects induced by a particle moving along a slightly eccentric equatorial orbits in a Schwarzschild spacetime within the gravitational self-force framework. We compute the first order (conservative) corrections in the mass-ratio to the eigenvalues of the electric-type and magnetic-type tidal tensors up to the second order in eccentricity and through the 9.5 post-Newtonian order. Previous results on circular orbits are thus generalized and recovered in a proper limit.
17 pages, revtex macros
References in corpus (20)
- 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
- Post-1-Newtonian tidal effects in the gravitational waveform from binary inspirals
- Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
- Modeling the dynamics of tidally-interacting binary neutron stars up to merger
- Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
- Tidal effects in binary neutron star coalescence
- Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
- Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism
- Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole
- Two-body gravitational spin-orbit interaction at linear order in the mass ratio
- Tidal invariants for compact binaries on quasi-circular orbits
- Comparison Between Self-Force and Post-Newtonian Dynamics: Beyond Circular Orbits
- 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
- Linear-in-mass-ratio contribution to spin precession and tidal invariants in Schwarzschild spacetime at very high post-Newtonian order
- 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 tidal invariants for spinning particles on circular orbits in a Schwarzschild spacetime
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- 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
- Gravitational self-force corrections to gyroscope precession along circular orbits in the Kerr spacetime
- Analytical determination of the periastron advance in spinning binaries from self-force computations