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Lifshitz scalar, brick wall method, and GUP in Ho\v{r}ava-Lifshitz Gravity

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arxiv 1007.1824 v3 pith:JTG7NFUE submitted 2010-07-12 hep-th gr-qc

classification hep-thgr-qc
keywords ava-lifshitzbrickgravitylifshitzmethodscalarwallarea
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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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Cited by 1 Pith paper

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  1. Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric

    gr-qc 2025-08 reject novelty 4.0 of 10

    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.

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