The large D black hole dynamics in AdS/dS backgrounds

Abstract

We have constructed a class of perturbative dynamical black hole solutions in presence of cosmological constant. We have done our calculation in large number of dimensions. The inverse power of dimension has been used as the perturbation parameter and our calculation is valid upto the first subleading order. The solutions are in one to one correspondence with a dynamical membrane and a velocity field embedded in the asymptotic geometry. Our method is manifestly covariant with respect to the asymptotic geometry. One single calculation and the same universal result works for both dS and AdS geometry or in case of AdS for both global AdS and Poincare patch. We have checked our final answer with various known exact solutions and the known spectrum of Quasi Normal modes in AdS/dS.

74 pages. v2: Minor changes, typos corrected

References in corpus (5)

• Nonlinear Fluid Dynamics from Gravity
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• The large D black hole Membrane Paradigm at first subleading order
• Unstable `black branes' from scaled membranes at large $D$
• On Brane Instabilities in the Large $D$ Limit

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• 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
• Black Hole Critical Collapse in Infinite Dimensions: Continuous Self-Similar Solutions
• 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
• Stress Tensor for Large-$D$ membrane at subleading orders