Mode solutions to the wave equation on a rotating cosmic string background
Analysis of PDEs
2022-04-28 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
A static rotating cosmic string metric is singular along a timelike line and fails to be globally hyperbolic; these features make it difficult to solve the wave equation by conventional energy methods. Working on a single angular mode at a time, we use microlocal methods to construct forward parametrices for wave and Klein--Gordon equations on such backgrounds.
Cite
@article{arxiv.2112.07705,
title = {Mode solutions to the wave equation on a rotating cosmic string background},
author = {Katrina Morgan and Jared Wunsch},
journal= {arXiv preprint arXiv:2112.07705},
year = {2022}
}
Comments
15 pages; improvements to exposition in response to referee comments