Gravitational self-force corrections to tidal invariants for spinning particles on circular orbits in a Schwarzschild spacetime
arXiv:1806.03495 · doi:10.1103/PhysRevD.98.084021
Abstract
We compute gravitational self-force corrections to tidal invariants for spinning particles moving along circular orbits in a Schwarzschild spacetime. In particular, we consider the square and the cube of the gravitoelectric quadrupolar tidal tensor and the square of the gravitomagnetic quadrupolar tidal tensor. Our results are accurate to first-order in spin and through the 9.5 post-Newtonian order. We also compute the associated electric-type and magnetic-type eigenvalues.
15 pages, 1 figure; revtex macros
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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
- Detweiler's redshift invariant for extended bodies orbiting a Schwarzschild black hole
- Gravitational self-force corrections to tidal invariants for particles on eccentric orbits in a Schwarzschild spacetime
- Spin dynamics of moving bodies in rotating black hole spacetimes