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Lifshitz scalar, brick wall method, and GUP in Hořava-Lifshitz Gravity

Published 12 Jul 2010 in hep-th and gr-qc | (1007.1824v3)

Abstract: Using the brick wall method, we study statistical entropy for spherically symmetric black holes in Ho\v{r}ava-Lifshitz gravity. In particular, a Lifshitz scalar field is considered in order to incorporate foliation preserving diffeomorphism which eventually gives a modified dispersion relation. Finally, we obtain the area law without UV cutoff for $z > 3$, and discuss some of consequences in connection with the generalized uncertainty principle.

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