skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
; ;  [1]
  1. GCAP-CASPER, Physics Department, Baylor University, Waco, TX 76798-7316 (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 1475-7516
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 Hořava-Lifshitz gravity. United States: N. p., 2012. Web. doi:10.1088/1475-7516/2012/02/025.
Borzou, Ahmad, Lin, Kai, & Wang, Anzhong. Static electromagnetic fields and charged black holes in general covariant theory of Hořava-Lifshitz gravity. United States. https://doi.org/10.1088/1475-7516/2012/02/025
Borzou, Ahmad, Lin, Kai, and Wang, Anzhong. Wed . "Static electromagnetic fields and charged black holes in general covariant theory of Hořava-Lifshitz gravity". United States. https://doi.org/10.1088/1475-7516/2012/02/025.
@article{osti_22279746,
title = {Static electromagnetic fields and charged black holes in general covariant theory of Hořava-Lifshitz 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 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.},
doi = {10.1088/1475-7516/2012/02/025},
url = {https://www.osti.gov/biblio/22279746}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 02,
volume = 2012,
place = {United States},
year = {2012},
month = {2}
}