  We construct a gravity dual of a boost-invariant flow of an N=4 SU(N)
supersymmetric Yang-Mills gauge theory plasma with chemical potential. We
present both a first-order corrected late-time solution in
Eddington-Finkelstein coordinates and a zeroth-order solution in parametric
form in Fefferman-Graham coordinates. The resulting background takes the form
of a time-dependent AdS Reissner-Nordstroem-type black hole whose horizons move
into the bulk of the AdS space. The solution correctly reproduces the energy
and charge density as well as the viscosity of the plasma previously computed
in the literature.
