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

Donato Bini and Andrea Geralico
Phys. Rev. D 98, 064040 – Published 19 September 2018

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)

  1. Research Areas
Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Donato Bini and Andrea Geralico

  • Istituto per le Applicazioni del Calcolo “M. Picone,” CNR, I-00185 Rome, Italy

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Issue

Vol. 98, Iss. 6 — 15 September 2018

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