Global Structure of a Black-Hole Cosmos and its Extremes
Abstract
We analyze the global structure of a family of Einstein-Maxwell solutions parametrized by mass, charge and cosmological constant. In a qualitative classification there are: (i) generic black-hole solutions, describing a Wheeler wormhole in a closed cosmos of spatial topology ; (ii) generic naked-singularity solutions, describing a pair of ``point" charges in a closed cosmos; (iii) extreme black-hole solutions, describing a pair of ``horned" particles in an otherwise closed cosmos; (iv) extreme naked-singularity solutions, in which a pair of point charges forms and then evaporates, in a way which is not even weakly censored; and (v) an ultra-extreme solution. We discuss the properties of the solutions and of various coordinate systems, and compare with the Kastor-Traschen multi-black-hole solutions.
Keywords
Cite
@article{arxiv.gr-qc/9304007,
title = {Global Structure of a Black-Hole Cosmos and its Extremes},
author = {Dieter R. Brill and Sean A. Hayward},
journal= {arXiv preprint arXiv:gr-qc/9304007},
year = {2010}
}
Comments
11 pages. Diagrams not included