Dark energy, inflation and dark matter from modified F(R) gravity

Abstract

We review modified $F(R)$ gravity as realistic candidate to describe the observable universe expansion history. 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 viable classes of $F(R)$-gravity, the Newton law is respected 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. These models remain to be realistic also in the presence of non-minimal gravitational coupling with usual matter. It is shown that same model which passes local tests and predicts the unification of inflation with cosmic acceleration also describes dark matter thanks to presence of additional scalar degree of freedom and chameleon mechanism.

20 pages, Problems of Modern Theoretical Physics, A Volume in honour of Prof.I.L. Buchbinder in the occasion of his 60th birthday,p.266-285, TSPU Publishing, Tomsk

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Cited by in corpus (12)

• Superstring-inspired supergravity as the universal source of inflation and quintessence
• Cosmic acceleration and crossing of $\omega =-1$ in non-minimal modified Gauss-Bonnet gravity
• A Non-minimally Coupled Quintom Dark Energy Model on the Warped DGP Brane
• Modified GBIG Scenario as an Alternative for Dark Energy
• Solar System tests of some models of modified gravity proposed to explain galactic rotation curves without dark matter
• Dynamical-Screening and the Phantom-Like Effects in a DGP-Inspired $F(R,\varphi )$ Model
• Two-Fluid Viscous Modified Gravity on a RS Brane
• Averaging inhomogeneities in scalar-tensor cosmology
• Cosmological dynamics of fourth order gravity
• Constraining Post-Newtonian f(R) Gravity in the Solar System
• Modified gravity with vacuum polarization
• $f(R)$-Cosmolgy from Early Universe Upto Future Cosmic Collapse and its Avoidance