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Thermodynamics of toroidal black holes

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arxiv gr-qc/9809029 v1 pith:QDTJVTLA submitted 1998-09-07 gr-qc

classification gr-qc
keywords blackholesgrandholethermodynamicaltoroidalallowboundary
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Canonical ensemble of a $d$-dimensional Reissner-Nordstr\"om black hole in a cavity

    hep-th 2025-04 conditional novelty 7.0 of 10

    A d-dimensional Reissner-Nordström black hole in a finite cavity has three equilibrium states below a critical charge and one above, and the two stable states undergo a first-order transition that becomes second-order...

  2. Inconsistencies of nonmetric Einstein-Dirac-Maxwell theories and a cure for geometric flows of f(Q) black ellipsoid, toroid and wormhole solutions

    physics.gen-ph 2025-04 reject novelty 4.0 of 10

    The paper formulates nonmetric Einstein-Dirac-Maxwell equations in f(Q) gravity and presents parametric off-diagonal black hole, wormhole, and toroid solutions generated by arbitrary functions, without explicit soluti...

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