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Charged black hole in a canonical ensemble
Phys. Rev. D 77, 044014 – Published 11 February, 2008
DOI: https://doi.org/10.1103/PhysRevD.77.044014
Abstract
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, yielding 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 (AdS) 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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