Non-Abelian (Hyperscaling Violating) Lifshitz Black Holes in General Dimensions

Abstract

We consider Einstein gravities coupled to a cosmological constant and multiple $SU(2)$ Yang-Mills fields in general dimensions and find that the theories admit colored Lifshitz solutions with dynamic exponents $z>1$. We also introduce a Maxwell field and construct exact electric charged black holes that asymptote to the $z=D-1$ colored Lifshitz spacetimes and analyse their thermodynamical first law. Furthermore, we introduce a dilaton to the system and construct Lifshitz spacetimes with hyperscaling violations. After turning on the Maxwell field, we obtain a class of hyperscaling violating Lifshitz black holes when $\theta =\frac{2}{D-2}[z-(D-1)]$.

Latex, 12 pages, a published version in PLB

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Cited by in corpus (2)

• Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
• Hyperscaling violating Schrodinger black holes in Einstein-Maxwell-scalar theory