Scalar self-force on a static particle in Schwarzschild using the massive field approach

TL;DR

This paper applies the massive field approach to compute the scalar self-force on a static particle in Schwarzschild spacetime, demonstrating that the self-force vanishes, consistent with prior findings.

Contribution

It introduces and applies the massive field approach to calculate the scalar self-force in Schwarzschild spacetime, confirming the force's null value for static particles.

Findings

Scalar self-force on a static particle in Schwarzschild spacetime vanishes.

The massive field approach effectively computes the self-force in curved spacetime.

Results align with previous analyses by Wiseman.

Abstract

We use the recently developed massive field approach to calculate the scalar self-force on a static particle in a Schwarzschild spacetime. In this approach the scalar self-force is obtained from the difference between the (massless) scalar field, and an auxiliary massive scalar field combined with a certain limiting process. By applying this approach to a static particle in Schwarzschild we show that the scalar self-force vanishes in this case. This result conforms with a previous analysis by Wiseman .