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Charged Black Hole in a Canonical Ensemble

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arxiv gr-qc/0612119 v1 pith:WRHGDWU4 submitted 2006-12-19 gr-qc

Andrew P. Lundgren (Cornell University) This is my paper · ORCID
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keywords blackholeasymptoticallyboundarycanonicalcavitychargedensemble
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Black hole equations of state and response functions

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Applies a thermodynamic representation framework to quasi-local Schwarzschild black holes, deriving representation-dependent stability, negative thermal expansion, and cooling under isenthalpic expansion.

  2. Thermodynamics and Phase Transition of a Gauss-Bonnet Black Hole in a Cavity

    gr-qc 2019-09 conditional novelty 6.0 of 10

    For five and six dimensional charged Gauss-Bonnet black holes in a cavity, the paper derives the free energy, confirms the first law, and finds two parameter regions: one phase, or a van der Waals-like small-large bla...

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