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

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.