Charged Lifshitz Black Holes

TL;DR

This paper explores how Maxwell charge influences Lifshitz black hole solutions across various dimensions, revealing size-dependent behaviors and their impact on thermodynamics and dual field theories.

Contribution

It generalizes the thermodynamic relations for charged Lifshitz black holes and analyzes the effects of charge on their properties and dual theories.

Findings

Large black holes are topology-insensitive.

Small black holes show significant topological effects.

Maxwell charge affects the effective potential in dual theories.

Abstract

We investigate modifications of the Lifshitz black hole solutions due to the presence of Maxwell charge in higher dimensions for arbitrary $z$ and any topology. We find that the behaviour of large black holes is insensitive to the topology of the solutions, whereas for small black holes significant differences emerge. We generalize a relation previously obtained for neutral Lifshitz black branes, and study more generally the thermodynamic relationship between energy, entropy, and chemical potential. We also consider the effect of Maxwell charge on the effective potential between objects in the dual theory.