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Black Hole Entropy production and Transport coefficients in Lovelock Gravity
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We study the entropy evolution of black holes in Lovelock gravity by formulating a thermodynamic generalization of null Raychaudhuri equation. We show that the similarity between the expressions of entropy change of the black hole horizon due to perturbation and that of a fluid, which is out of equilibrium, transcends beyond general relativity to the Lovelock class of theories. Exploiting this analogy we find that the shear and bulk viscosities for the black holes in Lovelock theories exactly match with those obtained in the membrane paradigm and also from holographic considerations.
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Cited by 2 Pith papers
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Hydrodynamical transports in generic AdS Gauss-Bonnet-scalar Gravity
Analytic shear and bulk viscosity formulas are derived for a five-dimensional Einstein-Scalar-Maxwell-Gauss-Bonnet holographic model, with the shear viscosity cross-checked by Kubo methods.
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A comparison of two constructions for dynamical corrections to Wald entropy
For small perturbations, the dynamical entropy S_dyn and Wall's entropy S_Wall satisfy S_dyn = (1-v∂_v)S_Wall, and this paper gives a local algorithm that reconstructs S_Wall from S_dyn once a bifurcation-surface cond...
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