A Microscopic Description of Thermodynamic Volume in Extended Black Hole Thermodynamics

Andrew Svesko; Clifford V. Johnson; Victoria L. Martin

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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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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