Black holes in presence of cosmological constant: Second order in 1/D

Abstract

We have extended the results of arXiv:1704.06076 upto second subleading order in an expansion around large dimension D. Unlike the previous case, there are non-trivial metric corrections at this order. Due to our `background-covariant' formalism, the dependence on Ricci and the Riemann curvature tensor of the background is manifest here. The gravity system is dual to a dynamical membrane coupled with a velocity field. The dual membrane is embedded in some smooth background geometry that also satisfies the Einstein equation in presence of cosmological constant. We explicitly computed the corrections to the equation governing the membrane-dynamics. Our results match with earlier derivations in appropriate limits. We calculated the spectrum of QNM from our membrane equations and matched them against similar results derived from gravity.

arXiv comment55 pages, v2: minor corrections

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Cited by in corpus (14)

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• Rotating black holes and black bars at large D
• Einstein-Gauss-Bonnet Black Rings at Large $D$
• Large D gravity and charged membrane dynamics with nonzero cosmological constant
• The large D Membrane Paradigm For Einstein-Gauss-Bonnet Gravity
• A leading-order comparison between fluid-gravity and membrane-gravity dualities
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• The large $D$ membrane paradigm for general four-derivative theory of gravity with a cosmological constant
• The Fate of Instability of de Sitter Black Holes at Large $D$
• Fluid-gravity and membrane-gravity dualities - Comparison at subleading orders
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• 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
• Stress Tensor for Large-$D$ membrane at subleading orders