Radiation from electrons in curved spaces

Abstract

It is shown that the energy-momentum tensor of the electromagnetic field, for an electron in a curved space, may be split into two dynamically independent parts. One of them, the radiation tensor, has the following remarkable properties: (i) its covariant divergence vanishes off the electron world line; (ii) it has no flux through light cones with apex on the world line; (iii) its diagonal terms are positive-definite under arbitrary coordinate transformations. This tensor is essentially determined by the above-mentioned properties. The radiation tensor describes at least part of the radiated energy. © 1975 The American Physical Society.