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:Physical review. D 2020-04, Vol.101 (8), Article 084051
Main Authors: Haroon, Sumarna, Hennigar, Robie A., Mann, Robert B., Simovic, Fil
Format: Article
Language:English
Subjects:
Black holes
Cosmological constant
Free energy
Phase transitions
Solid phases
Thermodynamics
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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:2470-0010
2470-0029
DOI:10.1103/PhysRevD.101.084051