  We present new families of non-supersymmetric solutions of D=11 supergravity
with non-relativistic symmetry, based on six-dimensional Kaehler-Einstein
manifolds. In constructing these solutions, we make use of a consistent
reduction to a five-dimensional gravity theory coupled to a massive scalar and
vector field. This theory admits a non-relativistic CFT dual with dynamical
exponent z=4, which may be uplifted to D=11 supergravity. Finally, we
generalise this solution and find new solutions with various z, including z=2.
