Charged Black Rings at large D

Abstract

We study the charged slowly rotating black holes in the Einstein-Maxwell theory in the large dimensions. By using the 1/D expansion in the near region of the black hole we obtain the effective equations for the charged slowly rotating black holes. The effective equations describe the charged black ring, the charged slowly rotating Myers-Perry black hole and the charged slowly boosted black string as stationary solutions. By embedding the solution of the effective equations into the flat spacetime background in the ring coordinate we obtain the charged black ring solution at large D analytically. We find that the charge lowers the angular momentum of the black ring due to the regular condition on the solution. By the perturbation analysis of the effective equations, we obtain the quasinormal modes of the charge perturbation and the gravitational perturbation analytically. Like the neutral case the charged thin black ring suffers from the Gregory-Laflamme-like instability under non-axisymmetric perturbations, but the charge helps weaken the instability. Besides, we find that the large D analysis always respect the cosmic censorship.

34 pages, 4 figures

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• Static Gauss-Bonnet Black Holes at Large $D$
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• Holographic Bjorken Flow at Large-D
• Einstein-Gauss-Bonnet Black Rings at Large $D$
• Large D gravity and charged membrane dynamics with nonzero cosmological constant
• Stationary Solutions from the Large D Membrane Paradigm
• Holographic Turbulence in Einstein-Gauss-Bonnet Gravity at Large $D$
• Black Ripples, Flowers and Dumbbells at large $D$
• Island of Reissner-Nordstr$\ddot{\mathbf{o}}$m anti-de Sitter black holes in the large $d$ limit
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Black hole interactions at large $D$: brane blobology
• Study of Semiclassical Instability of the Schwarzschild AdS Black Hole in the Large $D$ Limit
• Stress Tensor for Large-$D$ membrane at subleading orders
• Squashed black holes at large $D$