Black holes and global structures of spherical spacetimes in Horava-Lifshitz theory

Journal Article · Sat Oct 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.084040· OSTI ID:21607923

Greenwald, Jared; Satheeshkumar, V H ^[1]; Lenells, Jonatan ^[2]; Lu, J X ^[3]; Anzhong, Wang ^[1]

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1. GCAP-CASPER, Physics Department, Baylor University, Waco, Texas 76798-7316 (United States)
2. Mathematics Department, Baylor University, Waco, Texas 76798-7328 (United States)
3. Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui 230026 (China)

We systematically study black holes in the Horava-Lifshitz theory by following the kinematic approach, in which a horizon is defined as the surface at which massless test particles are infinitely redshifted. Because of the nonrelativistic dispersion relations, the speed of light is unlimited, and test particles do not follow geodesics. As a result, there are significant differences in causal structures and black holes between general relativity (GR) and the Horava-Lifshitz theory. In particular, the horizon radii generically depend on the energies of test particles. Applying them to the spherical static vacuum solutions found recently in the nonrelativistic general covariant theory of gravity, we find that, for test particles with sufficiently high energy, the radius of the horizon can be made as small as desired, although the singularities can be seen, in principle, only by observers with infinitely high energy. In these studies, we pay particular attention to the global structure of the solutions, and find that, because of the foliation-preserving-diffeomorphism symmetry, Diff(M,F), they are quite different from the corresponding ones given in GR, even though the solutions are the same. In particular, the Diff(M,F) does not allow Penrose diagrams. Among the vacuum solutions, some give rise to the structure of the Einstein-Rosen bridge, in which two asymptotically flat regions are connected by a throat with a finite nonzero radius. We also study slowly rotating solutions in such a setup, and obtain all the solutions characterized by an arbitrary function A{sub 0}(r). The case A{sub 0}=0 reduces to the slowly rotating Kerr solution obtained in GR.

• OSTI ID: 21607923
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COMPUTERIZED SIMULATION
CONFIGURATION
DISPERSION RELATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GEODESICS
GRAVITATION
MATHEMATICAL SOLUTIONS
RELATIVITY THEORY
SIMULATION
SINGULARITY
SPACE-TIME
SPHERICAL CONFIGURATION
SURFACES
SYMMETRY
TEST PARTICLES