Non-relativistic M-Theory solutions based on Kähler-Einstein spaces

We present new families of non-supersymmetric solutions of D = 11 supergravity with non-relativistic symmetry, based on six-dimensional Kähler-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.