Rotating black holes at large D in Einstein-Gauss-Bonnet theory

Abstract

Applying the large D approach to the Einstein-Gauss-Bonnet theory, we construct equally rotating black hole solutions in odd dimensions. This provides the first example of the analytic solutions which describes not-slowly rotating black holes. For the next-leading order solutions in the 1/D expansion, we discuss the physical aspects such as thermodynamics and the phase diagram.

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