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Global Structure of a Black-Hole Cosmos and its Extremes

Dieter R. Brill·Sean A. Hayward
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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 $S^2\times S^1$; (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.

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Dieter R. Brill, Sean A. Hayward. 1993-04-06. Global Structure of a Black-Hole Cosmos and its Extremes. https://doi.org/10.1088/0264-9381%2F11%2F2%2F008

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