Connecting early and late universe by $f(R)$ gravity

Understand

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 $f(R)$ gravity.
• We give the fundamental physics motivations and outline the main ingredients of $f(R)$ inflation, quintessence and cosmography.