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

Physics – High Energy Physics – High Energy Physics - Theory

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14 pages, 3 figures, to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.82.124048

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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