STUDY OF SYMMETRY IN F(R) THEORY OF GRAVITY

2009/10/13 by Abhik Kumar Sanyal, ABHIK KUMAR SANYAL
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Conserved current #Conserved quantity #Cosmology and Gravitation Theories #Current (fluid) #Curvature #Gravitation #Invariant (physics) #Material Science and Thermodynamics #Scalar (mathematics) #Scalar curvature #Scalar field #astro-ph.CO

paper · pdf · doi:10.1142/s0217732310033657

published as Mod.Phys.Lett.A25:2667-2676,2010 · 6 pages

arxiv created 2009/10/13 · openalex publication_date 2010/09/27 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

An action in which the Ricci scalar is non-minimally coupled with a scalar field and contains higher order curvature invariant terms carries a conserved current under certain conditions that decouples geometric part from the scalar field. The conserved current relates the pair of arbitrary coupling parameters f(ϕ) and ω(ϕ) with the gravitational field variable, where ω(ϕ) is the Brans–Dicke coupling parameter. The existence of such conserved current may be helpful to sketch the cosmological evolution from its early age till date in a single frame.

Citations

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