Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime

Li, Jing; Chen, Songbai; Jing, Jiliang

doi:10.48550/arxiv.2105.01267

Cited by 1 publication

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References 51 publications

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“…A number of formulations have emerged, which over a short period of time have enjoyed considerable interest. Already many aspects of 4D Gauss-Bonnet gravity and its black hole solutions have been studied, including tidal effects, causal structure, quasinormal modes, gravitational lensing, and more [22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Phase Transitions in 4D Gauss-Bonnet-de Sitter Black Holes

Marks,

Simovic,

Mann

2021

Preprint

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We investigate thermodynamic aspects of black holes in the recently formulated four dimensional Gauss-Bonnet theory of gravity, focusing on its asymptotically de Sitter (Λ > 0) solutions. We take a Euclidean path integral approach, where thermodynamic data is fixed at a finite radius 'cavity' outside the black hole to achieve equilibrium in the presence of the cosmological horizon. Working in the extended phase space where the cosmological constant is treated as a thermodynamic pressure, we study the phase structure of both uncharged and charged solutions, uncovering a wealth of phenomena. In the uncharged case, black holes are found to undergo either the standard Hawking-Page-like transition to empty de Sitter space or a small-large transition (akin to those seen in charged AdS black holes in pure Einstein gravity) depending on the pressure. We also find a triple point where the radiation, small, and large black hole phases coexist, and a zeroth-order phase transition within a narrow range of Gauss-Bonnet coupling parameter. Reentrant phase transitions between radiation and a small black hole also exist inside a certain parameter range. Similar phenomena are found in the charged case, with the charge parameter playing a role analogous to the Gauss-Bonnet coupling parameter in determining the phase structure.

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