Unification of the inflation with late-time acceleration in Born-Infeld-$f(R)$ gravity

Abstract

We study accelerating dynamics from Born-Infeld-$f(R)$ gravity in a simplified conformal approach without matter. In our work (A.N. Makarenko, S. Odintsov, G.J. Olmo, Phys.Lett. B734 (2014) 36, [arXiv:1403.2850]) it was derived eventually any Dark Energy cosmology from above theory. In this Letter we apply the technique of (arXiv:1403.2850) to show that Born-Infeld-$f(R)$ gravity may describe very realistic universe admitting the unification of early-time inflation with late-time acceleration. Specifically, the evolution with periodic as well as non-periodic behavior is considered with possibility to cross the phantom-divide at early or late-times.

References in corpus (4)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
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Cited by in corpus (3)

• Cosmological implications of Born-Infeld-$f(R)$ gravity
• Inflationary $\alpha -$attractors and $F(R)$ gravity
• Born-Infeld-$f(R)$ gravity with de Sitter solutions