Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-23
Phys.Rev.D80:024003,2009
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 14 pages; v2, v3: typos corrected
Scientific paper
10.1103/PhysRevD.80.024003
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.
Cai Rong-Gen
Cao Li-Ming
Ohta Nobuyoshi
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