Asymptotically Lifshitz Brane-World Black Holes

Details Asymptotically Lifshitz Brane-World Black Holes Asymptotically Lifshitz Brane-World Black Holes

2011-08-23

arxiv.org/abs/1108.4562v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 14 figures

Scientific paper

We study the gravity dual of a Lifshitz field theory in the context of a RSII brane-world scenario, taking into account the effects of the extra dimension through the contribution of the electric part of the Weyl tensor. We show that although the Lifshitz space-time cannot be considered as a vacuum solution of the RSII brane-world, the asymptotically Lifshitz solution can. We then study the thermodynamical behavior of such asymptotically Lifshitz black holes. It is shown that the condition on the positivity of entropy imposes an upper bound on the critical exponent $z$. This maximum value of $z$ corresponds to a positive infinite entropy as long as the temperature is kept positive. The stability and phase transition for different spatial topologies are also discussed.

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