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

TL;DR

This paper constructs and analyzes new non-Abelian Lifshitz and hyperscaling violating black hole solutions in general dimensions, exploring their thermodynamics and the effects of additional fields like Maxwell and dilaton.

Contribution

It introduces a class of colored Lifshitz and hyperscaling violating black holes with multiple gauge fields and dilaton in arbitrary dimensions, extending previous solutions.

Findings

Existence of colored Lifshitz solutions with $z>1$.

Exact electric charged black holes asymptoting to Lifshitz spacetimes.

Hyperscaling violating Lifshitz black holes with specific $ heta$ values.

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 $\theta=\frac{2}{D-2}[z-(D-1)]$.