Thermodynamics of toroidal black holes

Details Thermodynamics of toroidal black holes Thermodynamics of toroidal black holes

1998-09-07

arxiv.org/abs/gr-qc/9809029v1

J.Math.Phys. 41 (2000) 4783-4789

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 2 eps figures, revtex

Scientific paper

10.1063/1.533378

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, as the one encountered for spherical black holes.

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