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Spherically symmetric solutions in Hořava-Lifshitz gravity and their properties

2010/10/31 by Dario Capasso · 5 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Function (biology) #General relativity #Geometry #Geophysics and Gravity Measurements #Interpretation (philosophy) #Lambda #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Philosophy #Physics #Quantum mechanics #Space (punctuation) #Symmetry (geometry) #Term (time) #Theoretical physics #Theory of relativity #Transformation (genetics) #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.82.124058

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(12) (American Physical Society) · References added

arxiv created 2010/11/08 · openalex publication_date 2010/12/27 · arxiv updated 2011/01/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Nonprojectable Ho\ifmmode \checkr\else \vr\fiava gravity for a spherically symmetric configuration with \ensuremathλ=1 exhibits an infinite set of solutions parametrized by a generic function g2(r) for the radial component of the shift vector. In the IR limit the infinite set of solutions corresponds to the invariance of general relativity under a space-time reparametrization. In general, not being a coordinate transformation, the symmetry in the action responsible for the infinite set of solutions does not have a clear physical interpretation. Indeed it is broken by the matter term in the action. We study the behavior of the solutions for generic values of the parameter g2(r).

Citations