Thermodynamics of Gauss-Bonnet-de Sitter Black Holes

We investigate the thermodynamics of Gauss-Bonnet black holes in asymptotically de Sitter spacetimes embedded in an isothermal cavity, via a Euclidean action approach. We consider both charged and uncharged black holes, working in the extended phase space where the cosmological constant is treated a...

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Bibliographic Details
Published in:arXiv.org 2020-04
Main Authors: Sumarna Haroon, Hennigar, Robie A, Mann, Robert B, Simovic, Fil
Format: Article
Language:English
Subjects:
Cosmological constant
Free energy
Phase transitions
Solid phases
Thermodynamics
Online Access:Get full text
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Summary:We investigate the thermodynamics of Gauss-Bonnet black holes in asymptotically de Sitter spacetimes embedded in an isothermal cavity, via a Euclidean action approach. We consider both charged and uncharged black holes, working in the extended phase space where the cosmological constant is treated as a thermodynamic pressure. We examine the phase structure of these black holes through their free energy. In the uncharged case, we find both Hawking-Page and small-to-large black hole phase transitions, whose character depends on the sign of the Gauss-Bonnet coupling. In the charged case, we demonstrate the presence of a swallowtube, signaling a compact region in phase space where a small-to-large black hole transition occurs.
ISSN:2331-8422
DOI:10.48550/arxiv.2002.01567