Thermodynamics of toroidal black holes
Claudia S. Pe\c{c}a, Jos\'e P. S. Lemos
TL;DR
This paper studies the thermodynamic behavior of toroidal black holes within a finite cavity, revealing their stability and lack of phase transitions, contrasting with spherical black holes.
Contribution
It applies York's formalism to analyze thermodynamics of toroidal black holes, demonstrating their stability and dominance in the grand canonical ensemble.
Findings
Toroidal black holes are thermodynamically stable.
They dominate the grand partition function.
No phase transition occurs for toroidal black holes.
Abstract
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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