Static electromagnetic fields and charged black holes in general covariant theory of HořavaLifshitz gravity
Abstract
In this paper, we study electromeganetic static spacetimes in the nonrelativisitc general covariant theory of the HořavaLifshitz (HL) gravity, proposed recently by Hořava and MelbyThompson, and present all the electric static solutions, which represent the generalization of the ReissnerNordström 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 highorder momentum terms, so the speeds of these particles are unbounded in the ultraviolet (UV). As a result, the conception of lightcones 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 (twoclosed) 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.
 Authors:

 GCAPCASPER, Physics Department, Baylor University, Waco, TX 767987316 (United States)
 Publication Date:
 OSTI Identifier:
 22279746
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Cosmology and Astroparticle Physics
 Additional Journal Information:
 Journal Volume: 2012; Journal Issue: 02; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 14757516
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 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
Citation Formats
Borzou, Ahmad, Lin, Kai, and Wang, Anzhong. Static electromagnetic fields and charged black holes in general covariant theory of HořavaLifshitz gravity. United States: N. p., 2012.
Web. doi:10.1088/14757516/2012/02/025.
Borzou, Ahmad, Lin, Kai, & Wang, Anzhong. Static electromagnetic fields and charged black holes in general covariant theory of HořavaLifshitz gravity. United States. https://doi.org/10.1088/14757516/2012/02/025
Borzou, Ahmad, Lin, Kai, and Wang, Anzhong. Wed .
"Static electromagnetic fields and charged black holes in general covariant theory of HořavaLifshitz gravity". United States. https://doi.org/10.1088/14757516/2012/02/025.
@article{osti_22279746,
title = {Static electromagnetic fields and charged black holes in general covariant theory of HořavaLifshitz gravity},
author = {Borzou, Ahmad and Lin, Kai and Wang, Anzhong},
abstractNote = {In this paper, we study electromeganetic static spacetimes in the nonrelativisitc general covariant theory of the HořavaLifshitz (HL) gravity, proposed recently by Hořava and MelbyThompson, and present all the electric static solutions, which represent the generalization of the ReissnerNordström 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 highorder momentum terms, so the speeds of these particles are unbounded in the ultraviolet (UV). As a result, the conception of lightcones 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 (twoclosed) 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.},
doi = {10.1088/14757516/2012/02/025},
url = {https://www.osti.gov/biblio/22279746},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {14757516},
number = 02,
volume = 2012,
place = {United States},
year = {2012},
month = {2}
}