Lifshitz Topological Black Holes

Understand

I find a class of black hole solutions to a (3+1) dimensional theory gravity coupled to abelian gauge fields with negative cosmological constant that has been proposed as the dual theory to a Lifshitz theory describing critical phenomena in (2+1) dimensions.

• These black holes are all asymptotic to a Lifshitz fixed point geometry and depend on a single parameter that determines both their area (or size) and their charge.
• Most of the solutions are obtained numerically, but an exact solution is also obtained for a particular value of this parameter.
• The thermodynamic behaviour of large black holes is almost the same regardless of genus, but differs considerably for small black holes.