Einstein-Gauss-Bonnet Black Rings at Large $D$

Abstract

We study the black ring solution in the Einstein-Gauss-Bonnet (EGB) theory at large $D$. By using the $1/D$ expansion in the near horizon region we derive the effective equations for the slowly rotating black holes in the EGB theory. The effective equations describe the non-linear dynamics of various stationary solutions, including the EGB black ring, the slowly rotating EGB black hole and the slowly boosted EGB black string. By different embeddings we construct these stationary solutions explicitly. By performing the perturbation analysis of the effective equations, we obtain the quasinormal modes of the EGB black ring. We find that thin EGB black ring becomes unstable against non-axisymmetric perturbation.Furthermore, we numerically evolve the effective equations in a particular case to study the final state of the instability, and find that the thin black ring becomes the stable non-uniformblack ring at late time, which gives a relative strong evidence to support the conjecture given in [arXiv:1510.02200].

37 pages,10 figures

References in corpus (21)

• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Hawking radiation from rotating black holes in anti-de Sitter spaces via gauge and gravitational anomalies
• High and Low Dimensions in The Black Hole Negative Mode
• Slowly Rotating Charged Gauss-Bonnet Black holes in AdS Spaces
• Dynamics and Stability of Black Rings
• Nonuniform black strings in various dimensions
• The Black Ring is Unstable
• Stable non-uniform black strings below the critical dimension
• The large D black hole Membrane Paradigm at first subleading order
• Phases and Stability of Non-Uniform Black Strings
• Einstein-Gauss-Bonnet Black Strings at Large $D$
• Thermal transport and quasi-normal modes in Gauss-Bonnet-axions theory
• On Brane Instabilities in the Large $D$ Limit
• Pseudo-spectral construction of non-uniform black string solutions in five and six spacetime dimensions
• Holographic Turbulence in a Large Number of Dimensions
• 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 Turbulence in Einstein-Gauss-Bonnet Gravity at Large $D$
• The fate of black branes in Einstein-Gauss-Bonnet gravity

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• Holographic Turbulence in Einstein-Gauss-Bonnet Gravity at Large $D$
• Island of Reissner-Nordstr$\ddot{\mathbf{o}}$m anti-de Sitter black holes in the large $d$ limit
• Einstein-Gauss-Bonnet black strings at large $\alpha$
• Large D membrane for Higher Derivative Gravity and Black Hole Second Law
• The Fate of Instability of de Sitter Black Holes at Large $D$
• Instabilities of Thin Black Rings: Closing the Gap
• Black hole interactions at large $D$: brane blobology
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• Rotating black holes at large $D$ in Einstein-Gauss-Bonnet theory
• Study of Semiclassical Instability of the Schwarzschild AdS Black Hole in the Large $D$ Limit
• Phase and stability of black strings in Einstein-Gauss-Bonnet theory at large D
• The Black hole Black string phase transition in Einstein-Gauss-Bonnet gravity
• Squashed black holes at large $D$