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S. Tsujikawa and B. Gumjudpai, Phys. Rev. D 69
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S. Capozziello, S. Nojiri, S. D. Odintsov and A. Troisi, Phys. Lett. B 639
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2018

Attractor Cosmology from non-minimally Coupled Gravity

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

Understand

By using a bottom-up reconstruction technique for non-minimally coupled scalar-tensor theories, we realize the Einstein frame attractor cosmologies in the $\Omega (\phi)$-Jordan frame.

For our approach, what is needed for the reconstruction method to work is the functional form of the non-minimal coupling $\Omega(\phi)$ and of the scalar-to-tensor ratio, and also the assumption of the slow-roll inflation in the $\Omega (\phi)$-Jordan frame.
By appropriately choosing the scalar-to-tensor ratio, we demonstrate that the observational indices of the attractor cosmologies can be realized directly in the $\Omega (\phi)$-Jordan frame.
We investigate the special conditions that are required to hold true in for this realization to occur, and we provide the analytic form of the potential in the $\Omega (\phi)$-Jordan frame.

Built on

A. A. Starobinsky, Phys. Lett. B 91
1980
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.
J. J. Levin, Phys. Rev. D 51
1995
Earlier work this paper cites.
D. H. Lyth and A. Riotto, Phys. Rept. 314
1999
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Int. J. Mod. Phys. A 16
2001
Earlier work this paper cites.
S. Tsujikawa and B. Gumjudpai, Phys. Rev. D 69
2004
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.
V. Faraoni and S. Capozziello, Fundam. Theor. Phys. 170
2010
Earlier work this paper cites.
D. I. Kaiser, Phys. Rev. D 81
Original
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.
N. Deruelle and M. Sasaki, Springer Proc. Phys. 137
Original
2011
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Phys.Rept. 505
Original
2011
Earlier work this paper cites.
S. Capozziello and M. De Laurentis, Phys. Rept. 509
Original
2011
Earlier work this paper cites.
F. Bezrukov, A. Magnin, M. Shaposhnikov and S. Sibiryakov, JHEP 1101
Original
2011
Earlier work this paper cites.