Thermodynamics of a black hole in a cavity

Details Thermodynamics of a black hole in a cavity Thermodynamics of a black hole in a cavity

1994-10-12

arxiv.org/abs/gr-qc/9410015v1

Class.Quant.Grav.12:1663-1684,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, latex file, contains 3 figures available on request at okamoto@gprx.miz.nao.ac.jp

Scientific paper

10.1088/0264-9381/12/7/009

We present a unified thermodynamical description of the configurations consisting on self-gravitating radiation with or without a black hole. We compute the thermal fluctuations and evaluate where will they induce a transition from metastable configurations towards stable ones. We show that the probability of finding such a transition is exponentially small. This indicates that, in a sequence of quasi equilibrium configurations, the system will remain in the metastable states till it approaches very closely the critical point beyond which no metastable configuration exists. Near that point, we relate the divergence of the local temperature fluctuations to the approach of the instability of the whole system, thereby generalizing the usual fluctuations analysis in the cases where long range forces are present. When angular momentum is added to the cavity, the above picture is slightly modified. Nevertheless, at high angular momentum, the black hole loses most of its mass before it reaches the critical point at which it evaporates completely.

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