Lifshitz black holes in the Horava-Lifshitz gravity

We investigate the Lifshitz black holes from the Horava-Lifshitz gravity by comparing with the Lifshitz black hole from the 3D new massive gravity. We note that these solutions all have single horizons. These black holes are very similar to each other when studying their thermodynamics. It is shown that a second order phase transition is unlikely possible to occur between z = 3,2 Lifshitz black holes and z = 1 Horava black hole. (C) 2010 Elsevier B.V. All rights reserved.