Conditions and instability in $f(R)$ gravity with non-minimal coupling between matter and geometry

Abstract

In this paper on the basis of the generalized $f(R)$ gravity model with arbitrary coupling between geometry and matter, four classes of $f(R)$ gravity models with non minimal coupling between geometry and matter will be studied. By means of conditions of power law expansion and the equation of state of matter less than -1/3, the relationship among p, w and n, the conditions and the candidate for late time cosmic accelerated expansion will be discussed in the four classes of $f(R)$ gravity models with non minimal coupling. Furthermore, in order to keep considering models to be realistic ones, the Dolgov Kawasaki instability will be investigated in each of them.

9 pages

References in corpus (13)

• Cosmology and the Fate of Dilatation Symmetry
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Extra force in $f(R)$ modified theories of gravity
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Modified gravity with arbitrary coupling between matter and geometry
• Matter instability in modified gravity
• From inflation to dark energy in the non-minimal modified gravity
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• On the non-minimal gravitational coupling to matter
• Energy Conditions and Stability in generalized $f(R)$ gravity with arbitrary coupling between matter and geometry
• AdS and stabilized extra dimensions in multidimensional gravitational models with nonlinear scalar curvature terms 1/R and R^4

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• Five-dimensional generalized $f(R)$ gravity with curvature-matter coupling
• Energy conditions and constraints on the generalized non-local gravity model