Can F(R)-gravity be a viable model: the universal unification scenario for inflation, dark energy and dark matter

Abstract

We review on the viability of $F(R)$-gravity. We show that recent cosmic acceleration, radiation/matter-dominated epoch and inflation could be realized in the framework of $F(R)$-gravity in the unified way. For some classes of $F(R)$-gravity, the correction to the Newton law is extremely small and there is no so-called matter instability (the very heavy positive mass for additional scalar degree of freedom is generated). The reconstruction program in modified gravity is also reviewed and it is demonstrated that {\it any} time-evolution of the universe expansion could be realized in $F(R)$-gravity. Special attention is paid to modified gravity which unifies inflation with cosmic acceleration and passes local tests. It turns out that such a theory may describe also dark matter.

LaTeX 17 pages, based on the lectures given at JGRG17 (Nagoya, Japan) and at VI Winter School on Theor.Phys. (Dubna, Russia)

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• Crossing of Phantom Divide in $F(R)$ Gravity
• An Uneven Vacuum Energy Fluid as $\Lambda$, Dark Matter, MOND and Lens
• Withholding Potentials, Absence of Ghosts and Relationship between Minimal Dilatonic Gravity and f(R) Theories
• Two-Fluid Viscous Modified Gravity on a RS Brane
• Early and Late-time Cosmic Acceleration in Non-minimal Yang-Mills-$f(G)$ Gravity
• Cosmological dynamics of fourth order gravity
• Generalized modified gravity models: the stability issue
• Cosmography in F(G) modified gravity
• Energy Conditions in Extended $f(R,G,T)$ Gravity
• Dynamics of Solutions of $f(R)$ Theory
• $f(R)$-Cosmolgy from Early Universe Upto Future Cosmic Collapse and its Avoidance