Charged black holes in colored Lifshitz spacetimes

We consider Einstein gravities coupled to a cosmological constant and SU(2) Yang-Mills fields in four and five dimensions. We find that the theories admit colored Lifshitz solutions with dynamic exponents z > 1. We study the wave equations of the SU( 2) scalar triplet in the bulk, and find that the vacuum color modifies the scaling dimensions of the dual operators. We also introduce a Maxwell field and construct exact solutions of electrically-charged black holes that approachthe D = 4, z = 3 and D = 5, z = 4 colored Lifshitz spacetimes. We derive the thermodynamical first law for general colored and charged Lifshitz black holes. (C) 2015 The Authors. Published by Elsevier B.V.