Higher-dimensional origin of extended black hole thermodynamics

Abstract

Holographic braneworlds are used to present a higher-dimensional origin of extended black hole thermodynamics. In this framework, classical, asymptotically anti-de Sitter black holes map to quantum black holes in one dimension less, with a conformal matter sector that backreacts on the brane geometry. Varying the brane tension alone leads to a dynamical cosmological constant on the brane, and, correspondingly, a variable pressure attributed to the brane black hole. Thus, standard thermodynamics in the bulk, including a work term coming from the brane, induces extended thermodynamics on the brane, exactly, to all orders in the backreaction. A microsopic interpretation of the extended thermodynamics of specific quantum black holes is given via double holography.

6 pages plus supplementary material, 1 figure; v2: fixed typos in supplementary material, clarifications and references added, PRL version

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• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
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• Bulk-Boundary Thermodynamics of Charged Black Holes in Higher Derivative Theory
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• Generalized holographic complexity of rotating black holes
• Tipler Naked Singularities in $N$ Dimensions
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