Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 2, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2012/02/025
Keywords
modified gravity; gravity; quantum cosmology; quantum gravity phenomenology
Funding
- DOE [DE-FG02-10ER41692]
- NSFC [11178018, 11075224]
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In this paper, we study electromeganetic static spacetimes in the nonrelativisitc general covariant theory of the Hotava-Lifshitz (HL) gravity, proposed recently by Hotava and Aitelby-Thompson, and present all the electric static solutions, which represent the generalization of the Reissner-Nordstrom solution found in Linstein's general relativity ((JR). 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 geometrial 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.
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