Black Hole Collisions, Analytic Continuation, and Cosmic Censorship
Abstract
Exact solutions of the Einstein-Maxwell equations that describe moving black holes in a cosmological setting are discussed with the aim of discovering the global structure and testing cosmic censorship. Continuation beyond the horizons present in these solutions is necessary in order to identify the global structure. Therefore the possibilities and methods of analytic extension of geometries are briefly reviewed. The global structure of the Reissner-Nordstr\"om-de Sitter geometry is found by these methods. When several black holes are present, the exact solution is no longer everywhere analytic, but less smooth extensions satisfying the Einstein equations everywhere are possible. Some of these provide counterexamples to cosmic censorship.
Keywords
Cite
@article{arxiv.gr-qc/9501023,
title = {Black Hole Collisions, Analytic Continuation, and Cosmic Censorship},
author = {Dieter R. Brill},
journal= {arXiv preprint arXiv:gr-qc/9501023},
year = {2008}
}
Comments
Misprints corrected, some Figures (LaTeX picture environment) made even more beautiful, References added. This is the text of lectures at the First Samos Meeting on Cosmology Geometry and Relativity, to appear in Springer Lecture Notes in Physics.