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A Microscopic Description of Thermodynamic Volume in Extended Black Hole Thermodynamics

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arxiv 1911.05286 v1 pith:GSR6BOE3 submitted 2019-11-13 hep-th gr-qc

Clifford V. Johnson , Victoria L. Martin , Andrew Svesko This is my paper · ORCID
classification hep-thgr-qc
keywords blackvolumeholesolutionsthermodynamicentropyexplainfact
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Using the fact that theories of gravity with asymptotically three-dimensional anti-de Sitter geometries have dual descriptions as two-dimensional conformal field theories (CFTs), we present the first study in field theory of the thermodynamic volume of various black hole solutions. We explain in general two-dimensional CFT terms why the presence of a thermodynamic volume can render certain black hole solutions "super-entropic". Super-entropicity simply results from the fact that the Cardy formula, which gives the gravitational Bekenstein-Hawking entropy, can over-count the CFT entropy. The examples of charged Banados, Teitelbiom and Zanelli (BTZ) black holes and generalized exotic BTZ black holes are described. These observations help explain why the specific heat at constant volume can signal the instability of such solutions, as recently conjectured.

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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. 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. 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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