D-dimensional black holes in extended Gauss-Bonnet gravity

TL;DR

This paper derives new charged anti-de Sitter black hole solutions in various dimensions within extended Gauss-Bonnet gravity, revealing unique horizon structures and properties distinct from standard Gauss-Bonnet solutions.

Contribution

It presents novel charged black hole solutions in extended Gauss-Bonnet gravity for dimensions five and above, as well as three- and four-dimensional cases via dimensional regularization, including a rotating black hole in three dimensions.

Findings

Black holes can have one, two, or three horizons depending on parameters.

Solutions in extended Gauss-Bonnet gravity differ significantly from standard Gauss-Bonnet solutions.

Asymptotic behavior matches that of general relativity.

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.