2006/12/19 by A. P. Lundgren, Andrew P. Lundgren · 6 citations
Mathematics · Physics and Astronomy · #AdS black hole #Anti-de Sitter space #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Boundary value problem #Canonical ensemble #Charged black hole #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Grand canonical ensemble #Holography #Mathematical analysis #Mathematics #Microcanonical ensemble #Monte Carlo method #Noncommutative and Quantum Gravity Theories #Phase (matter) #Phase boundary #Phase transition #Physics #Quantum mechanics #Statistical physics #Statistics #Theoretical physics #Thermodynamics #Work (physics) #gr-qc
paper · pdf · doi:10.1103/physrevd.77.044014
published as Phys.Rev.D77:044014,2008 · 9 pages; 4 multipart figures
arxiv created 2006/12/19 · openalex publication_date 2008/02/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.