Anisotropic expansion, second order hydrodynamics and holographic dual

TL;DR

This paper explores the late-time behavior of anisotropic, second-order viscous hydrodynamics in expanding quark-gluon plasma using holographic duality, extending Bjorken flow to more realistic anisotropic scenarios.

Contribution

It generalizes Bjorken flow to anisotropic expansion with second-order hydrodynamics using AdS/CFT, providing explicit energy density and temperature evolution in Kasner space-time.

Findings

Derived explicit energy density as a function of proper time.

Obtained temperature and entropy evolution in terms of Kasner parameters.

Discussed gravity duals of anisotropic expanding fluids.

Abstract

We consider Kasner space-time describing anisotropic three dimensional expansion of RHIC and LHC fireball and study the generalization 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.