Elliptic flow, Kasner universe and holographic dual of RHIC fireball

We consider a holographic dual of hydrodynamics of N=4 SYM plasma thatundergoes non-isotropic three-dimensional expansion relevant to RHIC fireball.Our model is a natural extension of the Bjorken's one-dimensional expansion,and it describes an elliptic flow whose v2 and eccentricity are given in termsof anisotropy parameters. Holographic renormalization shows that absence ofconformal anomaly in the SYM theory constrains our local rest frame to be aKasner spacetime. We show that the Kasner spcetime provides a simpledescription of the anisotropically expanding fluid within a well-controledapproximation. We also find that the dual geometry determines some of thehydrodynamic quantities in terms of the initial condition and the fundamentalconstants.Comment: 14+1 pages, 2 figures. v2: published version, appendix adde