Black holes and global structures of spherical spacetimes in HoravaLifshitz theory
Abstract
We systematically study black holes in the HoravaLifshitz 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 HoravaLifshitz 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 foliationpreservingdiffeomorphism 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 ofmore »
 Authors:

 GCAPCASPER, Physics Department, Baylor University, Waco, Texas 767987316 (United States)
 Mathematics Department, Baylor University, Waco, Texas 767987328 (United States)
 Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui 230026 (China)
 Publication Date:
 OSTI Identifier:
 21607923
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 84; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.84.084040; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; COMPUTERIZED SIMULATION; DISPERSION RELATIONS; GENERAL RELATIVITY THEORY; GEODESICS; GRAVITATION; MATHEMATICAL SOLUTIONS; SINGULARITY; SPACETIME; SPHERICAL CONFIGURATION; SURFACES; SYMMETRY; TEST PARTICLES; CONFIGURATION; FIELD THEORIES; RELATIVITY THEORY; SIMULATION
Citation Formats
Greenwald, Jared, Satheeshkumar, V H, Lenells, Jonatan, Lu, J X, Anzhong, Wang, and Department of Physics, Zhejiang University of Technology, Hangzhou 310032. Black holes and global structures of spherical spacetimes in HoravaLifshitz theory. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVD.84.084040.
Greenwald, Jared, Satheeshkumar, V H, Lenells, Jonatan, Lu, J X, Anzhong, Wang, & Department of Physics, Zhejiang University of Technology, Hangzhou 310032. Black holes and global structures of spherical spacetimes in HoravaLifshitz theory. United States. https://doi.org/10.1103/PHYSREVD.84.084040
Greenwald, Jared, Satheeshkumar, V H, Lenells, Jonatan, Lu, J X, Anzhong, Wang, and Department of Physics, Zhejiang University of Technology, Hangzhou 310032. Sat .
"Black holes and global structures of spherical spacetimes in HoravaLifshitz theory". United States. https://doi.org/10.1103/PHYSREVD.84.084040.
@article{osti_21607923,
title = {Black holes and global structures of spherical spacetimes in HoravaLifshitz theory},
author = {Greenwald, Jared and Satheeshkumar, V H and Lenells, Jonatan and Lu, J X and Anzhong, Wang and Department of Physics, Zhejiang University of Technology, Hangzhou 310032},
abstractNote = {We systematically study black holes in the HoravaLifshitz 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 HoravaLifshitz 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 foliationpreservingdiffeomorphism 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 EinsteinRosen 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.},
doi = {10.1103/PHYSREVD.84.084040},
url = {https://www.osti.gov/biblio/21607923},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 8,
volume = 84,
place = {United States},
year = {2011},
month = {10}
}