Quasi-local contribution to the scalar self-force: Non-geodesic Motion

TL;DR

This paper extends the calculation of the scalar self-force's quasi-local contribution to particles in arbitrary motion within general spacetimes, including specific examples like Reissner-Nordstrom and Kerr-Newman, to understand non-geodesic effects.

Contribution

It generalizes previous work by including non-geodesic motion and provides explicit calculations for particles in complex spacetimes, enhancing understanding of self-force effects.

Findings

Quasi-local self-force contributions are computed for non-geodesic motion.

Analysis includes particles held at rest in Reissner-Nordstrom and Kerr-Newman spacetimes.

Results enable comparison with previous geodesic-based calculations.

Abstract

We extend our previous calculation of the quasi-local contribution to the self-force on a scalar particle to general (not necessarily geodesic) motion in a general spacetime. In addition to the general case and the case of a particle at rest in a stationary spacetime, we consider as examples a particle held at rest in Reissner-Nordstrom and Kerr-Newman space-times. This allows us to most easily analyse the effect of non-geodesic motion on our previous results and also allows for comparison to existing results for Schwarzschild spacetime.