Gravitational self-force corrections to tidal invariants for particles on circular orbits in a Kerr spacetime

Abstract

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio corrections to the quadratic and cubic electric-type invariants and the quadratic magnetic-type invariant in series of the rotation parameter up to the fourth order. We then construct the eigenvalues of both electric and magnetic tidal tensors and analytically compute them through high post-Newtonian orders.

14 pages, revtex macros

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Cited by in corpus (5)

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• 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
• 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