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

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

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 (conservative) 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 …