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 (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 order and through the ninth and eighth post-Newtonian orders, respectively. We then analytically compute the associated eigenvalues of both electric and magnetic tidal tensors.
- Received 22 June 2018
DOI:https://doi.org/10.1103/PhysRevD.98.064040
© 2018 American Physical Society
Physics Subject Headings (PhySH)
Gravitation, Cosmology & Astrophysics