Flux of radiation from pointlike sources in general relativity
General Relativity and Quantum Cosmology
2020-09-03 v1
Abstract
In the paper we study propagation of light in general relativity through a spacetime filled with cold plasma with infinite conductivity. We use the geometric optics based on Synge's approach. As the main result we provide a formula for calculation of spectral flux of radiation emitted from a pointlike source. The formula employs connecting vectors that are obtained by integrating the ray deviation equation along the reference ray connecting the source and observation event. As a byproduct we formulate Etherington's reciprocity theorem with the inclusion of plasma, interrelating angular size distance and luminosity distance. We also discuss the Liouville theorem and its formulation in terms of connecting vectors.
Cite
@article{arxiv.2001.10358,
title = {Flux of radiation from pointlike sources in general relativity},
author = {Matej Sárený},
journal= {arXiv preprint arXiv:2001.10358},
year = {2020}
}
Comments
20 pages, 2 figures