Scalar field self-force effects on a particle orbiting a Reissner-Nordstrom black hole

TL;DR

This paper analytically investigates the scalar self-force on a charge orbiting a Reissner-Nordström black hole using a post-Newtonian approach, providing detailed calculations up to 7.5PN order and comparing with prior numerical results.

Contribution

It presents an analytical solution for scalar self-force effects in Reissner-Nordström spacetime, extending previous work from Schwarzschild black holes.

Findings

Analytical expressions for self-force components up to 7.5PN order.

Good agreement with numerical results in both strong and weak gravitational fields.

Evaluation of energy fluxes radiated to infinity and into the black hole.

Abstract

Scalar field self-force effects on a scalar charge orbiting a Reissner-Nordstr\"om black hole are investigated. The scalar wave equation is solved analytically in a post-Newtonian framework, and the solution is used to compute the self-field as well as the components of the self-force at the particle's location up to 7.5 post-Newtonian order. The energy fluxes radiated to infinity and down the hole are also evaluated. Comparison with previous numerical results in the Schwarzschild case shows a good agreement in both strong-field and weak-field regimes.