D-dimensional black holes in extended Gauss-Bonnet gravity

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 exhibit markedly different properties compared to their counterparts in standard Gauss--Bonnet gravity. Depending on the parameter space, the black hole may possess one, two, or even three horizons. Nonetheless, their asymptotic behavior at spatial infinity remains consistent with that of the corresponding black holes in general relativity.