  We construct dynamical black hole solutions to Einstein Equations in presence
of matter in the large $D$ limit. The matter stress tensors that we consider
are weak in the sense that they source asymptotic spacetimes with internal
curvatures of the order of $\mathcal{O}(D^0)$. Apart from this, we work with a
generic stress tensor demanding only that the stress tensor satisfies the
conservation equations. The black hole solutions are obtained in terms of the
dual non-gravitational picture of membranes propagating in spacetimes
equivalent to the asymptotes of the black holes. We obtain the metric solutions
to the second sub-leading order in $1/D$. We also obtain the equations
governing the dual membranes up to the first sub-leading order in $1/D$.
