Questions of Stability near Black Hole Critical Points

Details Questions of Stability near Black Hole Critical Points Questions of Stability near Black Hole Critical Points

2003-05-19

arxiv.org/abs/gr-qc/0305074v1

Phys.Rev. D68 (2003) 067501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, Revtex

Scientific paper

10.1103/PhysRevD.68.067501

In this letter, we discuss how thermal fluctuations can effect the stability of (generally) charged black holes when close to certain critical points. Our novel treatment utilizes the black hole area spectrum (which is, for definiteness, taken to be evenly spaced) and makes an important distinction between fixed and fluctuating charge systems (with these being modeled, respectively, as a canonical and grand canonical ensemble.) The discussion begins with a summary of a recent technical paper [gr-qc/0305018]. We then go on to consider the issue of stability when the system approaches the critical points of interest. These include the $d$-dimensional analogue of the Hawking-Page phase transition, a phase transition that is relevant to Reissner-Nordstrom black holes and various extremal-limiting cases.

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