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arXiv · 0904.3670

Topological Black Holes in Horava-Lifshitz Gravity

Rong-Gen Cai·Li-Ming Cao·Nobuyoshi Ohta
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Abstract

We find topological (charged) black holes whose horizon has an arbitrary constant scalar curvature $2k$ in Ho\v{r}ava-Lifshitz theory. Without loss of generality, one may take $k=1,0$ and -1. The black hole solution is asymptotically AdS with a nonstandard asymptotic behavior. Using the Hamiltonian approach, we define a finite mass associated with the solution. We discuss the thermodynamics of the topological black holes and find that the black hole entropy has a logarithmic term in addition to an area term. We find a duality in Hawking temperature between topological black holes in Ho\v{r}ava-Lifshitz theory and Einstein's general relativity: the temperature behaviors of black holes with $k=1, 0$ and -1 in Ho\v{r}ava-Lifshitz theory are respectively dual to those of topological black holes with $k=-1, 0$ and 1 in Einstein's general relativity. The topological black holes in Ho\v{r}ava-Lifshitz theory are thermodynamically stable.

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Rong-Gen Cai, Li-Ming Cao, Nobuyoshi Ohta. 2009-04-23. Topological Black Holes in Horava-Lifshitz Gravity. https://doi.org/10.1103/physrevd.80.024003

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