Self-force corrections to the periapsis advance around a spinning black hole

Abstract

The linear in mass ratio correction to the periapsis advance of equatorial orbits around a spinning black hole is calculated for the first time and to very high precision, providing a key benchmark for different approaches modelling spinning binaries. The high precision of the calculation is leveraged to discriminate between two recent incompatible derivations of the 4PN equations of motion. Finally, the limit of the periapsis advance near the innermost stable orbit (ISCO) allows determination of the ISCO shift, validating previous calculations using the first law of binary mechanics. Calculation of the ISCO shift is further extended into the near extremal regime (with spins up to $1-a=10^{-20}$), revealing new unexpected phenomenology. In particular, we find that the shift of the ISCO does not have a well defined extremal limit, but instead continues to oscillate.

6 pages, 3 figures, Updated to match PRL accepted version

References in corpus (4)

• Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
• Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
• Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole
• Completion of metric reconstruction for a particle orbiting a Kerr black hole

Cited by in corpus (7)

• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• Gravitational scattering of two black holes at the fourth post-Newtonian approximation
• Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order
• Evolution of small-mass-ratio binaries with a spinning secondary
• Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription
• Bounds on spinning particles in their innermost stable circular orbits around rotating braneworld black hole
• Orbital spin dynamics of a millisecond pulsar around a massive black hole with an general mass quadrupole