  Locally asymptotically AdS solutions of Einstein equations coupled with a
vector field with a weakly curved boundary metric are found within the
fluid-gravity gradient expansion up to second order in gradients. This geometry
is dual to 1+3 dimensional hydrodynamics with a conserved current in a weakly
curved background. The causal structure of the bulk geometry is determined and
it is shown that the black brane singularity is shielded by an event horizon.
