Horizon/Matter Systems near the Extreme State
arXiv:gr-qc/9712007 · doi:10.1088/0264-9381/15/10/025
Abstract
It is shown that in the extreme limit with a zero surface gravity but nonzero local temperature the limiting metric of a generic static black hole is determined by a metric induced on a horizon and one function of two coordinates, stress-energy tensor of a source picking up its values from a horizon. The limiting procedure is extended to rotating black holes. If the extreme limit is due to merging a black hole horizon and cosmological one both horizons are always in thermal equilibrium in this limit. This is proved for a generic case of static or axially-symmetrical rotating spacetimes.
12 pages, REVTeX, no figures. In the replaced versions the conclusion about the thermal equilibrium between black-hole and cosmological horizon in the extreme limit is extended to generic static and axially-symmetrical rotational metrics. New references are added, Introduction is rewritten to make it self-closed
References in corpus (3)
Cited by in corpus (18)
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