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2016

Inflationary $\alpha$-attractors from $F(R)$ Gravity

Odintsov, S. D., Oikonomou, V. K.

Understand

In this paper we study some classes of $\alpha$-attractors models in the Jordan frame and we find the corresponding $F(R)$ gravity theory.

We study analytically the problem at leading order and we investigate whether the attractor picture persists in the $F(R)$ gravity equivalent theory.
As we show, if the slow-roll conditions are assumed in the Jordan frame, the spectral index of primordial curvature perturbations and the scalar-to-tensor ratio are identical to the corresponding observational indices of the $R^2$ model, a result which indicates that the attractor property is also found in the corresponding $F(R)$ gravity theories of the $\alpha$-attractors models.
Moreover, implicit and approximate forms of the $F(R)$ gravity inflationary attractors are found.

Built on

A. A. Starobinsky, Phys. Lett. B 91
1980
Earlier work this paper cites.
R. Kallosh, A. Linde and A. Westphal, Phys. Rev. D 90
Original
1983
Earlier work this paper cites.
J. D. Barrow and S. Cotsakis, Phys. Lett. B 214
1988
Earlier work this paper cites.
D. I. Kaiser, astro-ph/9507048; G. Domenech, M. Sasaki, arXiv:1602.06332; D. J. Brooker, S. D. Odintsov and R. P. Woodard, Nucl. Phys. B 911
Original
1995
Earlier work this paper cites.
D. H. Lyth and A. Riotto, Phys. Rept. 314
1999
Earlier work this paper cites.
H. Noh and J. C. Hwang, Mod. Phys. Lett. A 19
2001
Earlier work this paper cites.
V. Mukhanov, “Physical foundations of cosmology,” Cambridge, UK: Univ. Pr. (2005) 421 p
2005
Earlier work this paper cites.
S. Capozziello, S. Nojiri, S. D. Odintsov and A. Troisi, Phys. Lett. B 639
2006
Earlier work this paper cites.
F. L. Bezrukov and M. Shaposhnikov, Phys. Lett. B 659
Original
2007
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, eConf C 0602061
2007
Earlier work this paper cites.
M. Novello and S. E. P. Bergliaffa, Phys. Rept. 463
Original
2008
Earlier work this paper cites.
V. Faraoni and S. Capozziello, “Beyond Einstein gravity : A Survey of gravitational theories for cosmology and astrophysics,” Fundamental Theories of Physics, Vol. 170, Springer, 2010
2010
Earlier work this paper cites.
D. S. Gorbunov and V. A. Rubakov, “Introduction to the theory of the early universe: Cosmological perturbations and inflationary theory,” Hackensack, USA: World Scientific (2011) 489 p;
2011
Earlier work this paper cites.