Generalised hyperbolicity in conical space-times
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
Solutions of the wave equation in a space-time containing a thin cosmic string are examined in the context of non-linear generalised functions. Existence and uniqueness of solutions to the wave equation in the Colombeau algebra G is established for a conical space-time and this solution is shown to be associated to a distributional solution. A concept of generalised hyperbolicity, based on test fields, can be defined for such singular space-times and it is shown that a conical space-time is G-hyperbolic.
Cite
@article{arxiv.gr-qc/9907105,
title = {Generalised hyperbolicity in conical space-times},
author = {J. A. Vickers and J. P. Wilson},
journal= {arXiv preprint arXiv:gr-qc/9907105},
year = {2009}
}
Comments
22 pages, AmSTeX, 2 postscript figures