Scalar self-force on a static particle in Schwarzschild using the massive field approach
arXiv:gr-qc/0410022 · doi:10.1103/PhysRevD.70.124016
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 .
15 pages