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arXiv · 2508.04292

D-dimensional black holes in extended Gauss-Bonnet gravity

Jia-Zhou Liu·Si-Jiang Yang·Chun-Chun Zhu·Yu-Xiao Liu
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Abstract

In this work, we present charged spherically symmetric anti-de Sitter black hole solutions in $d$ dimensions ($d \geq 5$) within the framework of extended Gauss--Bonnet gravity. Moreover, by employing dimensional regularization of the extended Gauss--Bonnet term, we further obtain charged anti-de Sitter black hole solutions in three- and four-dimensional spacetimes. Furthermore, we also obtain a three-dimensional rotating black hole solution in a special case. These solutions contain an independent vector-sector parameter and exhibit different horizon structures compared with the standard charged Gauss--Bonnet branch. For the charged solutions, we also give a concise Iyer-Wald thermodynamic analysis. Nonetheless, their asymptotic behavior at spatial infinity remains consistent with that of the corresponding black holes in general relativity.

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Jia-Zhou Liu, Si-Jiang Yang, Chun-Chun Zhu, Yu-Xiao Liu. 2025-08-06. D-dimensional black holes in extended Gauss-Bonnet gravity. https://doi.org/10.1016/j.physletb.2026.140544

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