The large D Membrane Paradigm For Einstein-Gauss-Bonnet Gravity

Abstract

We find the equations of motion of membranes dual to the black holes in Einstein-Gauss-Bonnet (EGB) gravity to leading order in 1/D in the large D regime. We also find the metric solutions to the EGB equations to first subleading order in 1/D in terms of membrane variables. We propose a world volume stress tensor for the membrane whose conservation equations are equivalent to the leading order membrane equations. We also work out the light quasi-normal mode spectrum of static black holes in EGB gravity from the linearised fluctuations of static, round membranes. Also, the effective equations for stationary black holes and the spectrum of linearised spectrum about black string configurations has been obtained using the membrane equation for EGB gravity.All our results are worked out to linear order in the Gauss-Bonnet parameter.

arXiv commentTwo new sections on stationary membranes and black branes added. Abstract modified to take care of changes. Some typos corrected

References in corpus (19)

• Effective theory of Black Holes in the 1/D expansion
• Evolution and endpoint of the black string instability: Large D solution
• Decoupling and non-decoupling dynamics of large D black holes
• Hydro-elastic Complementarity in Black Branes at large D
• The holographic dual of a Riemann problem in a large number of dimensions
• Non-uniform black strings and the critical dimension in the $1/D$ expansion
• The large D black hole Membrane Paradigm at first subleading order
• Currents and Radiation from the large $D$ Black Hole Membrane
• Quasinormal modes of Gauss-Bonnet black holes at large D
• Instability of de Sitter Reissner-Nordstrom black hole in the 1/D expansion
• Einstein-Gauss-Bonnet Black Strings at Large $D$
• Unstable `black branes' from scaled membranes at large $D$
• On Brane Instabilities in the Large $D$ Limit
• Holographic Turbulence in a Large Number of Dimensions
• An Action for and Hydrodynamics from the improved Large D membrane
• The large D black hole dynamics in AdS/dS backgrounds
• Black holes in presence of cosmological constant: Second order in 1/D
• The Large Dimension Limit of a Small Black Hole Instability in Anti-de Sitter Space
• Stationary Solutions from the Large D Membrane Paradigm

Cited by in corpus (9)

• The Large D Limit of Einstein's Equations
• Large D membrane for Higher Derivative Gravity and Black Hole Second Law
• Fluid-gravity and membrane-gravity dualities - Comparison at subleading orders
• The Fate of Instability of de Sitter Black Holes at Large $D$
• The large $D$ membrane paradigm for general four-derivative theory of gravity with a cosmological constant
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• General Theory of Large D Membranes Consistent with Second Law of Thermodynamics
• Study of Semiclassical Instability of the Schwarzschild AdS Black Hole in the Large $D$ Limit
• Black hole one-loop determinants in the large dimension limit