Classical Radiation Formula in the Rindler Frame

TL;DR

This paper simplifies the derivation of the classical radiation formula for a moving charge in the Rindler frame and analyzes its directional dependence, confirming the consistency of energy-momentum splitting.

Contribution

It provides a more straightforward derivation of the radiation formula and estimates the directional dependence, extending previous work.

Findings

Simplified derivation of the radiation formula in the Rindler frame

Estimation of directional dependence of radiation

Confirmation of energy-momentum tensor splitting consistency

Abstract

In a preceding paper [T. Hirayama, Prog. Theor. Phys. 106 (2001), 71], the power of the classical radiation emitted by a moving charge was evaluated in the Rindler frame. In this paper, we give a simpler derivation of this radiation formula, including an estimation of the directional dependence of the radiation. We find that the splitting of the energy-momentum tensor into a bound part I' and an emitted part II' is consistent with the three conditions introduced in the preceding paper, also for each direction within the future light cone.