Kasner Space-Time, Second-Order Hydrodynamics and Gravity Dual

Abstract

We consider Kasner space-time describing three-dimensional anisotropic expansion of quark-gluon plasma (QGP) and study the generalization of Bjorken’s one-dimensional expansion of the conformal fluid by taking into account second-order relativistic viscous hydrodynamics. We have obtained explicit expressions for the time evolution of the components of energy momentum tensor, energy density, temperature and entropy in terms of Kasner parameters. Using time-dependent AdS/CFT correspondence, we have studied the gravity dual of the anisotropically expanding fluid in the late time approximation.