Charged Black Hole in a Canonical Ensemble

Details Charged Black Hole in a Canonical Ensemble Charged Black Hole in a Canonical Ensemble

2006-12-19

arxiv.org/abs/gr-qc/0612119v1

Phys.Rev.D77:044014,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages; 4 multipart figures

Scientific paper

10.1103/PhysRevD.77.044014

We consider the thermodynamics of a charged black hole enclosed in a cavity. The charge in the cavity and the temperature at the walls are fixed so that we have a canonical ensemble. We derive the phase structure and stability of black hole equilibrium states. We compare our results to that of other work which uses asymptotically anti-de Sitter boundary conditions to define the thermodynamics. The thermodynamic properties have extensive similarities which suggest that the idea of AdS holography is more dependent on the existence of the boundary than on the exact details of asymptotically AdS metrics.

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