Radiation from an accelerating charge in a family of Rindler frames

TL;DR

This paper verifies a specific case of the generalized Larmor radiation formula in accelerating frames by explicit computation within Rindler frames, exploring observer-dependent energy and conservation laws in curved spacetime.

Contribution

It provides an explicit verification of the generalized radiation formula in Rindler frames and discusses observer-dependence and conservation laws in such spacetimes.

Findings

Confirmation of the generalized Larmor radiation formula in Rindler frames

Analysis of observer-dependent energy and simultaneity effects

Discussion of conservation laws in spacetimes with Killing vectors

Abstract

The generalization of the Larmor radiation formula in gravitational fields and with accelerating observers was obtained by Hirayama and others. We verify a special case of their result by explicit computation using a family of displaced Rindler frames. We discuss the role of observer-dependence of energy and simultaneity. We also include a discussion of conservation laws in spacetimes equipped with a Killing vector and a time function.