Membrane Paradigm and Horizon Thermodynamics in Lanczos-Lovelock gravity

Abstract

We study the membrane paradigm for horizons in Lanczos-Lovelock models of gravity in arbitrary D dimensions and find compact expressions for the pressure p and viscosity coefficients ηand ζof the membrane fluid. We show that the membrane pressure is intimately connected with the Noether charge entropy S_Wald of the horizon when we consider a specific m-th order Lanczos-Lovelock model, through the relation pA/T=(D-2m)/(D-2)S_Wald, where T is the temperature and A is the area of the horizon. Similarly, the viscosity coefficients are expressible in terms of entropy and quasi-local energy associated with the horizons. The bulk and shear viscosity coefficients are found to obey the relation ζ=-2(D-3)/(D-2)η.

v1: 13 pages, no figure. (v2): refs added, typos corrected, new subsection added on the ratio η/s. (v3): some clarification added, typos corrected, to appear in JHEP

References in corpus (5)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Wilsonian Approach to Fluid/Gravity Duality
• Lessons from Classical Gravity about the Quantum Structure of Spacetime
• Lovelock theories, holography and the fate of the viscosity bound
• Counterterms in Dimensionally Continued AdS Gravity

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• Black Hole Entropy production and Transport coefficients in Lovelock Gravity
• Statistical modeling of the fluid dual to Boulware-Deser Black hole
• Cosmological horizons as new examples of membrane paradigm
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• Black hole mass formula in the membrane paradigm