Speaker
Description
AdS/CFT correspondence has provided a very important tool for studying
the strongly coupled dynamics in a class of superconformal field theories,
in particular, ${\cal N} = 4$ super Yang-Mills theory
and the corresponding gravity dual description in AdS space-time.
In this work, we have used time dependent AdS/CFT correspondence to
study the expansion of the strongly coupled QGP (Quark-Gluon-Plasma) and
the corresponding gravity dual desription.
In the context of the expanding plasma, we have considered non-isotropic
expansion in three dimensions which
is a generalization of Bjorken's one dimensional expansion. Using Kasner
space-time as the local rest frame and second order relativistic viscous
hydrodynamics, we study the late time behaviour of the Bjorken flow.
Solving the conservation equation for the energy-momentum and using
conformal invariance, 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 has also been obtained
in terms of Kasner parameters.
We have studied the dual geometry in the large proper time regime in
Eddington-Finkelstein type coordinates.
