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.

arXiv comment5 pages, 1 figure

References in corpus (24)

• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• R^4 Couplings in M and Type II Theories
• The large D limit of General Relativity
• The Lovelock Black Holes
• Large D gravity and low D strings
• M-Theory on a Calabi-Yau Manifold
• Effective theory of Black Holes in the 1/D expansion
• Evolution and endpoint of the black string instability: Large D solution
• A membrane paradigm at large D
• 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
• Hydro-elastic Complementarity in Black Branes at large D
• The Large D Limit of Einstein's Equations
• Instability of rotating black holes: large D analysis
• Einstein-Gauss-Bonnet Black Strings at Large $D$
• Static Gauss-Bonnet Black Holes at Large $D$
• A Charged Membrane Paradigm at Large D
• $D=5$ Rotating Black Holes in Einstein-Gauss-Bonnet Gravity: Mass and Angular Momentum in Extremality
• Charged rotating black holes at large D
• Einstein-Gauss-Bonnet Black Rings at Large $D$
• Stationary Solutions from the Large D Membrane Paradigm
• 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