Charged Black Holes in Colored Lifshitz Spacetimes

Abstract

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 asymptote to the $D=4$, $z=3$ and $D=5$, $z=4$ colored Lifshitz spacetimes. We derive the thermodynamical first law for general colored and charged Lifshitz black holes.

Latex, 13 pages, minor corrections and references added

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Cited by in corpus (6)

• Thermodynamics of dyonic black holes with Thurston horizon geometries
• Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
• Electrically-Charged Lifshitz Spacetimes, and Hyperscaling Violations
• Non-Abelian (Hyperscaling Violating) Lifshitz Black Holes in General Dimensions
• Charged Lifshitz black hole and probed Lorentz-violation fermions from holography
• Holographic stress tensor of colored Lifshitz spacetimes and hairy black holes