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 that describe not-slowly rotating black holes. For the next-to-leading-order solutions in the 1/D expansion, we discuss the physical aspects such as thermodynamics and the phase diagram.