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arXiv · 2002.01567

Thermodynamics of Gauss-Bonnet-de Sitter Black Holes

Sumarna Haroon·Robie A. Hennigar·Robert B. Mann·Fil Simovic
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Abstract

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.

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Sumarna Haroon, Robie A. Hennigar, Robert B. Mann, Fil Simovic. 2020-02-04. Thermodynamics of Gauss-Bonnet-de Sitter Black Holes. https://doi.org/10.1103/physrevd.101.084051

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