2003/06/12 by S. Carlip, S Carlip, S. Vaidya +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Charged black hole #Critical phenomena #Extremal black hole #Noncommutative and Quantum Gravity Theories #Phase diagram #Phase transition #Quantum Electrodynamics and Casimir Effect #de Sitter–Schwarzschild metric #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/20/16/319
published as Class.Quant.Grav.20:3827-3838,2003 · LaTeX, 14 pages, 9 eps figures; higher resolution figures available on request
arxiv created 2003/06/12 · openalex publication_date 2003/07/31 · arxiv updated 2010/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the thermodynamics of a four-dimensional charged black hole in a finite cavity in asymptotically flat and asymptotically de Sitter spaces. In each case, we find a Hawking–Page-like phase transition between a black hole and a thermal gas very much like the known transition in asymptotically anti-de Sitter space. For a 'supercooled' black hole—a thermodynamically unstable black hole below the critical temperature for the Hawking–Page phase transition—the phase diagram has a line of first-order phase transitions that terminates in a second-order point. For the asymptotically flat case, we calculate the critical exponents at the second-order phase transition and find that they exactly match the known results for a charged black hole in anti-de Sitter space. We find strong evidence for similar phase transitions for the de Sitter black hole as well. Thus many of the thermodynamic features of charged anti-de Sitter black holes do not really depend on asymptotically anti-de Sitter boundary conditions; the thermodynamics of charged black holes is surprisingly universal.