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We study asymptotically Lifshitz spacetimes and the constraints on flowsbetween Lifshitz fixed points imposed by the null energy condition. In contrastwith the relativistic holographic c-theorem, where the effective AdS radius, L,is monotonically decreasing in the IR, for Lifshitz backgrounds we find thatboth L and z may flow in either direction. We demonstrate this with severalnumerical examples in a phenomenological model with a massive gauge fieldcoupled to a real scalar.

Holographic Lifshitz flows and the null energy condition