Charged Lifshitz Black Holes

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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.