Abstract
We present arguments for the existence of five-dimensional rotating black holes with equal magnitude angular momenta in Einstein–Gauss–Bonnet theory with negative cosmological constant. These solutions posses a regular horizon of spherical topology and approach asymptotically an anti-de Sitter spacetime background. We discuss the general properties of these solutions and, using an adapted counterterm prescription, we compute their entropy and conserved charges.
Highlights
The most general theory of gravity leading to second order field equations for the metric is the so called Einstein-Gauss-Bonnet (EGB) theory, which contains quadratic powers of the curvature
The study of black holes with higher derivative curvature in Anti-de Sitter (AdS) spaces has been considered by many authors in the recent years
Static AdS black hole solutions in EGB gravity are known in closed form, presenting a number of interesting features
Summary
The most general theory of gravity leading to second order field equations for the metric is the so called Einstein-Gauss-Bonnet (EGB) theory, which contains quadratic powers of the curvature. The main purpose of this work is to present numerical evidence for the existence of a different class of rotating solutions in d = 4 + 1 EGB theory with negative cosmological constant, approaching asymptotically an AdS spacetime background. These solutions are found within a nonperturbative approach, by directly solving the EGB equations with suitable boundary conditions. They posses a regular horizon of spherical topology and have two equal magnitude angular momenta. The same approach has been employed recently to construct Einstein-Maxwell rotating black hole solutions in higher dimensions [8, 9]
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