Blow-Up of Test Fields Near Cauchy Horizons
General Relativity and Quantum Cosmology
2009-10-22 v1
Abstract
The behaviour of test fields near a compact Cauchy horizon is investigated. It is shown that solutions of nonlinear wave equations on Taub spacetime with generic initial data cannot be continued smoothly to both extensions of the spacetime through the Cauchy horizon. This is proved using an energy method. Similar results are obtained for the spacetimes of Moncrief containing a compact Cauchy horizon and for more general matter models.
Keywords
Cite
@article{arxiv.gr-qc/9306027,
title = {Blow-Up of Test Fields Near Cauchy Horizons},
author = {J. Rauch and A. D. Rendall},
journal= {arXiv preprint arXiv:gr-qc/9306027},
year = {2009}
}
Comments
10 pages, Plain TeX, MPA-AR-92-1