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Instability of Super-Entropic Black Holes in Extended Thermodynamics

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arxiv 1906.00993 v1 pith:NOWPFPUH submitted 2019-06-03 hep-th gr-qc

Clifford V. Johnson This is my paper · ORCID
classification hep-thgr-qc
keywords blackholesinstabilitysuper-entropicextendedholethermodynamicsvolume
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The charged black hole of Banados, Teitelbiom and Zanelli is studied in extended gravitational thermodynamics where there is a dynamical pressure and volume. It is a simple example of a super-entropic black hole, violating the reverse isoperimetric inequality. It is proven that this property implies that its specific heat at constant volume is negative, signalling a new kind of fundamental instability for black holes. It is conjectured that this instability is present for other super-entropic black holes, and this is demonstrated numerically for a large family of known solutions.

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Cited by 4 Pith papers

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

  1. Charged rotating quantum black holes

    hep-th 2025-06 conditional novelty 6.0 of 10

    A charged, rotating quantum BTZ black hole is built from the AdS C-metric, and charge or spin is shown to remove the neutral-static case's re-entrant phase transitions, whose critical exponents are computed as (0, 1, 2, 3).

  2. Charged accelerating black hole in $f(R)$ gravity

    hep-th 2019-08 conditional novelty 6.0 of 10

    A charged, slowly accelerating AdS black hole in f(R) gravity is constructed and shown to satisfy a first law, with an eta-dependent thermodynamic volume and a reverse isoperimetric inequality that allows super-entrop...

  3. Thermodynamic Instabilities of Generalized Exotic BTZ Black Holes

    gr-qc 2019-08 accept novelty 6.0 of 10

    Generalized exotic BTZ black holes can have positive specific heat at constant volume despite violating the reverse isoperimetric inequality, countering a recent conjecture.

  4. Specific Heats for Rotating Quantum BTZ Black Holes in Extended Thermodynamics

    hep-th 2025-02 conditional novelty 5.0 of 10

    For the rotating quantum BTZ black hole, the paper derives path-dependent heat capacities at constant pressure and volume with multiple positive and negative branches.

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