Abstract

Inflation and dark energy are two of the most relevant aspects of modern cosmology. These different epochs provide the universe is passing through accelerated phases soon after the Big-Bang and at present stage of its evolution. In this review paper, we discuss that both eras can be, in principle, described by a geometric picture, under the standard of f(R)f(R) gravity. We give the fundamental physics motivations and outline the main ingredients of f(R)f(R) inflation, quintessence and cosmography. This wants to be a quick summary of f(R)f(R) paradigm without claiming of completeness.

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