With GUP-modified effective metrics and tuned cutoffs (or tuned GUP parameter), the brick-wall entropy is made to reproduce the Bekenstein-Hawking area law.
Lifshitz scalar, brick wall method, and GUP in Ho\v{r}ava-Lifshitz Gravity
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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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Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
With GUP-modified effective metrics and tuned cutoffs (or tuned GUP parameter), the brick-wall entropy is made to reproduce the Bekenstein-Hawking area law.