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arXiv · 2112.07705

Mode solutions to the wave equation on a rotating cosmic string background

Katrina Morgan·Jared Wunsch
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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.

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Katrina Morgan, Jared Wunsch. 2021-12-14. Mode solutions to the wave equation on a rotating cosmic string background. https://arxiv.org/abs/2112.07705

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