Topological Black Holes in Horava-Lifshitz Gravity

By Rong-Gen Cai, Li-Ming Cao, N. Ohta. 2009

271 citations recorded by the source corpus.

We find topological (charged) black holes whose horizon has an arbitrary constant scalar curvature 2k in Horcava-Lifshitz theory. Without loss of generality, one may take k=1, 0, and -1. The black hole solution is asymptotically anti-de Sitter 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 Horcava-Lifshitz theory and Einstein's general relativity: the temperature behaviors of black holes with k=1, 0, and -1 in Horcava-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 Horcava-Lifshitz theory are thermodynamically stable.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8181a40ca35744d61345ddf9abadf8c313bcc4a2

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Citations in the corpus

On the z=4 Horava-Lifshitz Gravity (2009, methodology): “It is very complicated to find explicit solutions for a general β and we will focus on our most interesting case: β = −3/8, which is the Hořava-Lifshitz theory related to NMG in three dimensions.”
Hořava–Lifshitz dark energy (2009, background): “In particular, one can examine specific solution subclasses [34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46], the phase-space behavior [47, 48, 49, 50, 51], the gravitational wave production [52, 53, 54, 55, 56, 57], the perturbation spectrum [58, 59, 60, 61, 62, 63, 64, 65, 66], the matter boun”
Phenomenological aspects of Hořava–Lifshitz cosmology (2009, unknown): “Some solutions in Hořava-Lifshitz gravity were presented in [11, 12, 13, 14].”
Modified Gravity and Cosmology (2011, background): “Solar system constraints on these theories are considered further in [643, 644, 645], based on the solutions presented in [684], and black holes are studied in [226, 227, 232].”
The Black hole and FRW geometries of non-relativistic gravity (2009, background): “We study a particular limit of the theory which admits flat Minkowski vacuum and we discuss thoroughly the quadratic fluctuations around it.”
The black hole and cosmological solutions in IR modified Hořava gravity (2009, unknown): “(For a generalization to topological black holes, see [11].”