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

TL;DR

This paper constructs analytic solutions for equally rotating black holes in Einstein-Gauss-Bonnet theory at large dimensions, including thermodynamics and phase structure, marking the first non-slowly rotating solutions in this context.

Contribution

It provides the first analytic solutions for not-slowly rotating black holes in Einstein-Gauss-Bonnet theory at large D, extending the large D approach.

Findings

First analytic solutions for rotating black holes in Einstein-Gauss-Bonnet theory.

Analysis of thermodynamics and phase diagram at next-leading order.

Demonstrates the applicability of large D methods to complex black hole solutions.

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.