Self force on static charges in Schwarzschild spacetime

TL;DR

This paper investigates the self forces on static scalar and electric charges near a Schwarzschild black hole using mode decomposition and two regularization methods, confirming known results with high accuracy.

Contribution

It introduces a direct local calculation approach for self forces in Schwarzschild spacetime and compares two independent regularization techniques, validating their effectiveness.

Findings

Excellent agreement with known exact results.

Validation of two regularization procedures.

Effective mode decomposition method for self force calculation.

Abstract

We study the self forces acting on static scalar and electric test charges in the spacetime of a Schwarzschild black hole. The analysis is based on a direct, local calculation of the self forces via mode decomposition, and on two independent regularization procedures: A spatially-extended particle model method, and on a mode-sum regularization prescription. In all cases we find excellent agreement with the known exact results.