Anisotropic expansion, second-order hydrodynamics and holographic dual

Abstract

We consider Kasner space–time describing anisotropic three-dimensional expansion of RHIC and LHC fireball and study the generalisation of Bjorken’s one-dimensional expansion by taking into account second-order relativistic viscous hydrodynamics. Using time-dependent AdS/CFT correspondence, we study the late-time behaviour of the Bjorken flow. From the conditions of conformal invariance and energy–momentum conservation, we obtain the explicit expression for the energy density as a function of proper time in terms of Kasner parameters. The proper time dependence of the temperature and entropy have also been obtained in terms of Kasner parameters. We consider Eddington–Finkelstein-type coordinates and discuss the gravity dual of the anisotropically expanding fluid in the late-time regime.