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.

5 pages, 1 figure

References in corpus (6)

• The Lovelock Black Holes
• High and Low Dimensions in The Black Hole Negative Mode
• Five-dimensional rotating black holes in Einstein-Gauss-Bonnet theory
• Slowly Rotating Charged Gauss-Bonnet Black holes in AdS Spaces
• Einstein-Gauss-Bonnet Black Strings at Large $D$
• Squashed black holes at large $D$

Cited by in corpus (1)

• Island of Reissner-Nordstr$\ddot{\mathbf{o}}$m anti-de Sitter black holes in the large $d$ limit