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We propose a consistent setup for the holographic dual of the stronglycoupled large-Nc N=4 super Yang-Mills theory plasma which undergoes the Bjorkenflow relevant to the quark-gluon plasma at BNL Relativistic Heavy Ion Colliderand CERN LHC. The dual geometry is constructed order by order in a well-definedlate-time expansion. The transport coefficients are determined by theregularity of the geometry. We prove, for the first time, that the dualgeometry has an apparent horizon hence an event horizon, which covers asingularity at the origin. Further we prove that the dual geometry is regularto all orders in the late-time expansion under an appropriate choice of thetransport coefficients. This choice is also shown to be unique. Our modelserves as a concrete well-defined example of a time-dependent AdS/CFT dual.

Consistent Anti-de Sitter-Space/Conformal-Field-Theory Dual for a Time-Dependent Finite Temperature System