  We prove a c-theorem for holographic renormalization group flows in a
Schrodinger spacetime that demonstrates that the effective radius L(r)
monotonically decreases from the UV to the IR, where r is the bulk radial
coordinate. This result assumes that the bulk matter satisfies the null energy
condition, but holds regardless of the value of the critical exponent z. We
also construct several numerical examples in a model where the Schrodinger
background is realized by a massive vector coupled to a real scalar. The full
Schrodinger group is realized when z=2, and in this case it is possible to
construct solutions with constant effective z(r)=2 along the entire flow.
