Charged rotating black holes at large D

Abstract

We study odd dimensional charged equally rotating black holes in the Einstein-Maxwell theory with/without a cosmological constant by using the large D expansion method, where D is a spacetime dimension. Solving the Einstein-Maxwell equations in the 1/D expansion we obtain the large D effective equations for charged equally rotating black holes. The effective equations describe the nonlinear dynamics of charged equally rotating black holes. Especially the perturbation analysis of the effective equations gives analytic formula for quasinormal mode frequencies, and we can show charged equally rotating black holes have instabilities. As one interesting feature of instabilities, we observe that the ultraspinning instability of neutral equally rotating black holes in de Sitter is connected with the instability of de Sitter Reissner-Nordstrom black hole in a rotation-charge plane of the solution parameter space. So these instabilities have same origin as dynamical properties of charged rotating black holes. We also give perturbation analysis by a small charge for even dimensional equally rotating black holes.

35 pages, 4 figures

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• Static Gauss-Bonnet Black Holes at Large $D$
• Charged Black Rings at large D
• Black holes in presence of cosmological constant: Second order in 1/D
• Holographic Bjorken Flow at Large-D
• Einstein-Gauss-Bonnet Black Rings at Large $D$
• Stationary Solutions from the Large D Membrane Paradigm
• Instability of Reissner-Nordström-AdS black hole under perturbations of a scalar field coupled to Einstein tensor
• Large D gravity and charged membrane dynamics with nonzero cosmological constant
• Instability of Charged Gauss-Bonnet Black Hole in de Sitter Spacetime at Large $D$
• Black Ripples, Flowers and Dumbbells at large $D$
• The Fate of Instability of de Sitter Black Holes at Large $D$
• Rotating black holes at large $D$ in Einstein-Gauss-Bonnet theory
• Horizon Tunneling Revisited: The Case of Higher Dimensional Black Holes
• Squashed black holes at large $D$