On the initial value problem for the electromagnetic wave equation in Friedmann-Robertson-Walker space-times
Analysis of PDEs
2019-12-20 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We solve the source free electromagnetic wave equation in Friedmann-Robertson-Walker space-times for curvature and . Deriving a solution expression in the form of spherical means we deduce and compare two properties of the Maxwell propagator namely, decay rates, as well as continuity through the space-time singularity to that of the scalar wave equation presented by Abbasi and Craig [1].
Cite
@article{arxiv.1910.06676,
title = {On the initial value problem for the electromagnetic wave equation in Friedmann-Robertson-Walker space-times},
author = {Walter Craig and Mikale Reddy},
journal= {arXiv preprint arXiv:1910.06676},
year = {2019}
}