Gravitational self-force on a particle orbiting a Kerr black hole

TL;DR

This paper introduces a practical method for calculating the gravitational self-force on a particle in generic Kerr black hole orbits, addressing regularization and gauge issues for radiation-reaction analysis.

Contribution

It provides regularization parameters for mode-sum regularization and tackles gauge-regularization problems in Kerr spacetime.

Findings

Calculated regularization parameters for Kerr orbits

Resolved gauge-regularization issues

Enhanced methods for gravitational self-force computation

Abstract

We present a practical method for calculating the gravitational self-force, as well as the electromagnetic and scalar self forces, for a particle in a generic orbit around a Kerr black hole. In particular, we provide the values of all the regularization parameters needed for implementing the (previously introduced) {\it mode-sum regularization} method. We also address the gauge-regularization problem, as well as a few other issues involved in the calculation of gravitational radiation-reaction in Kerr spacetime.