1998/09/07 by Claudia S. Peça, José P. S. Lemos · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1063/1.533378
published as J.Math.Phys. 41 (2000) 4783-4789 · 11 pages, 2 eps figures, revtex
arxiv created 1998/09/07 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The thermodynamical properties of toroidal black holes in the grand canonical ensemble are investigated using York’s formalism. The black hole is enclosed in a cavity with finite radius where the temperature and electrostatic potential are fixed. The boundary conditions allow one to compute the relevant thermodynamical quantities, e.g., thermal energy, entropy, and specific heat. This black hole is thermodynamically stable and dominates the grand partition function. This means that there is no phase transition, such as the one encountered for spherical black holes.