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arXiv · 1805.03440

Distorted vacuum black holes in the canonical ensemble

O. B. Zaslavskii
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Abstract

We consider a vacuum static spacetime in a finite size cavity. On the boundary, we specify a metric and a finite constant local temperature $T$. No spherical or any other spatial symmetry is assumed. We show that (i) inside a cavity, only a black hole or flat spacetime are possible, whereas a curved horizonless regular space-time is excluded, (ii) in the limit when the horizon area shrinks, the Hawking temperature diverges, (iii) for the existence of a black hole, $T$ should be high enough. When $T\rightarrow \infty $, a black hole phase is favorable thermodynamically. Our consideration essentially uses the coordinate system introduced by Israel in his famous proof of the uniqueness theorem.

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O. B. Zaslavskii. 2018-05-09. Distorted vacuum black holes in the canonical ensemble. https://doi.org/10.1142/s0217732319500603

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