  We propose a consistent setup for a holographic dual of Bjorken flow of
strongly coupled large-Nc N=4 SYM-theory plasma. We employ
Eddington-Finkelstein type coordinates for the dual geometry, and we propose a
late-time expansion there. We construct the dual geometry order by order, and
we show that the transport coefficients are determined by the regularity of the
geometry. We also show that the dual geometry has an apparent horizon hence an
event horizon, which covers the singularity at the origin. We prove that the
dual geometry is regular at all orders under an appropriate choice of the
transport coefficients. Our model is a concrete well-defined example of
time-dependent AdS/CFT.
