Radiation from an accelerating charge in a family of Rindler frames

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.