AdS black brane solution surrounded by quintessence in massive gravity and KSS bound

In this paper, the Einstein AdS black brane solution in the presence of quintessence in context of massive gravity is introduced. The ratio of shear viscosity to entropy density for this solution violates the KSS bound by applying the Dirichlet boundary and regularity conditions on the horizon for [Formula: see text]. Our result shows that this value is independent of quintessence in any arbitrary dimensions.

The effect of bulk dimension in the presence of string cloud on viscosity bound

In this paper, the Einstein AdS black brane solution in the presence of a string cloud in the context of d-dimensional massive gravity is introduced. The ratio of shear viscosity to entropy density for this solution violates the KSS bound by applying the Dirichlet boundary and regularity on the horizon conditions. Our result shows that this value is independent of string cloud in any arbitrary dimensions.

Black brane solution in Rastall AdS massive gravity and viscosity bound

In this paper, we introduced the black brane solution in Rastall theory and in the context of massive gravity. The ratio of shear viscosity to entropy density is calculated for this solution. Our result shows that the KSS bound violates this theory.

Holographic Aspects of a Relativistic Nonconformal Theory

We study a generalD-dimensional Schwarzschild-type black brane solution of the Einstein-dilaton theory and derive, by using the holographic renormalization, its thermodynamics consistent with the geometric results. Using the membrane paradigm, we calculate the several hydrodynamic transport coefficients and compare them with the results obtained by the Kubo formula, which shows the self-consistency of the gauge/gravity duality in the relativistic nonconformal theory. In order to understand more about the relativistic non-conformal theory, we further investigate the binding energy, drag force, and holographic entanglement entropy of the relativistic non-conformal theory.

THE FLUID–GRAVITY CORRESPONDENCE: THE MEMBRANE AT THE END OF THE UNIVERSE

We establish an explicit connection between the evolution of generic inhomogeneous black brane solutions in asymptotically AdS space–times and the evolution of relativistic conformal fluids in one lower dimension. Specifically, given any solution to a particular set of fluid-dynamical equations, one can construct an inhomogeneous black brane solution with a regular event horizon. This connection is reminiscent of the membrane paradigm for black holes; in our case the dynamics of the entire space–time is encoded in a fluid living at the boundary. This fluid–gravity correspondence leads to interesting implications for both gravitational physics and fluid dynamics.