The Definitive Mathematical Analysis

The main achievement of the paper [6] by Boulware is a very careful analysis of the EM fields of a uniformly accelerating charge and the energy-momentum of those fields, with some interesting deductions about the flow of energy in spacetime for this scenario. Although there will be criticisms in what follows, this paper is highly recommended for the mathematical aspects of the fields, and in fact all the details are spelt out in the following. Criticism is aimed particularly at deductions made about the impossibility of measuring radiation if one is comoving with a uniformly accelerating charge, but also about the idea that one can, or should, try to save the claim that a charge that is stationary relative to coordinates in which the metric is static cannot radiate. Since the discussion here is very detailed, this chapter is divided into sections and subsections.