  We consider supersymmetric configurations in Type IIB supergravity obtained
by the beackreaction of fundamental strings ending on a stack of D3-branes and
smeared uniformly in the three spatial directions along the D3-branes. These
automatically include a distribution of D5-brane baryon vertices necessary to
soak up string charge. The backgrounds are static, preserving eight
supersymmetries, an SO(5) global symmetry and symmetry under spatial
translations and rotations. We obtain the most general BPS configurations
consistent with the symmetries. We show that the solutions to the Type IIB
field equations are completely specified by a single function (the dilaton)
satisfying a Poisson-like equation in two dimensions. We further find that the
equation admits a class of solutions displaying Lifshitz-like scaling with
dynamical critical exponent z=7. The equations also admit an asymptotically
AdS_5 x S^5 solution deformed by the presence of backreacted string sources
that yield a uniform density of heavy quarks in N=4 SYM.
