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arXiv · 2208.05500

Exotic Black Hole Thermodynamics in Third-Order Lovelock Gravity

Brayden R. Hull·Fil Simovic
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Abstract

The generalization of Birkhoff's theorem to higher dimensions in Lovelock gravity allows for black hole solutions with horizon geometries of non-constant curvature. We investigate thermodynamic aspects of these `exotic' black hole solutions, with a particular emphasis on their phase transitions. We consider an extended phase space where the cosmological constant acts as a thermodynamic pressure, and examine both uncharged and $U(1)$ charged solutions. In $d=7$, black hole solutions are restricted to having constant-curvature horizon base manifolds. Uncharged $d=7$ black holes possess novel triple point phenomena analogous to those recently uncovered in exotic $d=6$ black holes in Gauss-Bonnet gravity, while their charged counterparts generically undergo small-large black hole phase transitions. In $d=8$, we find that both charged and uncharged black holes exhibit triple point behaviour and small-large black hole transitions. We also show that a wide range of `exotic' horizon geometries can be ruled out due to the appearance of naked singularities.

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Brayden R. Hull, Fil Simovic. 2022-08-10. Exotic Black Hole Thermodynamics in Third-Order Lovelock Gravity. https://doi.org/10.1088/1361-6382/acdb3d

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