Static electromagnetic fields and charged black holes in general covariant theory of Hořava-Lifshitz gravity

Journal Article · Wed Feb 01 04:00:00 EST 2012 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2012/02/025· OSTI ID:22279746

Borzou, Ahmad; Lin, Kai; Wang, Anzhong ^[1]

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1. GCAP-CASPER, Physics Department, Baylor University, Waco, TX 76798-7316 (United States)

In this paper, we study electromeganetic static spacetimes in the nonrelativisitc general covariant theory of the Hořava-Lifshitz (HL) gravity, proposed recently by Hořava and Melby-Thompson, and present all the electric static solutions, which represent the generalization of the Reissner-Nordström solution found in Einstein's general relativity (GR). The global/local structures of spacetimes in the HL theory in general are different from those given in GR, because the dispersion relations of test particles now contain high-order momentum terms, so the speeds of these particles are unbounded in the ultraviolet (UV). As a result, the conception of light-cones defined in GR becomes invalid and test particles do not follow geodesics. To study black holes in the HL theory, we adopt the geometrical optical approximations, and define a horizon as a (two-closed) surface that is free of spacetime singularities and on which massless test particles are infinitely redshifted. With such a definition, we show that some of our solutions give rise to (charged) black holes, although the radii of their horizons in general depend on the energies of the test particles.

• OSTI ID: 22279746
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 02 Vol. 2012; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
APPROXIMATIONS
ASTROPHYSICS
BLACK HOLES
COSMOLOGY
DISPERSION RELATIONS
ELECTROMAGNETIC FIELDS
GENERAL RELATIVITY THEORY
GEODESICS
GRAVITATION
LIGHT CONE
MATHEMATICAL SOLUTIONS
RED SHIFT
SINGULARITY
TEST PARTICLES
ULTRAVIOLET RADIATION
VELOCITY