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Universe 2015, 1(1), 82-91; doi:10.3390/universe1010082

Arctan-Gravity Model

Department of Chemical and Physical Sciences, University of Toronto, 3359 Mississauga Road North, Mississauga, ON L5L 1C6, Canada
Academic Editors: Kazuharu Bamba and Sergei D. Odintsov
Received: 28 March 2015 / Revised: 11 May 2015 / Accepted: 15 May 2015 / Published: 22 May 2015
(This article belongs to the Special Issue Modified Gravity Cosmology: From Inflation to Dark Energy)
View Full-Text   |   Download PDF [254 KB, uploaded 22 May 2015]   |  


A new gravity model with the function F(R) = (1) arctan (βR – β2R2) instead of the Ricci scalar in the Einstein–Hilbert action, describing inflation of the Universe, is suggested and analyzed. We obtain constant curvature solutions of the model in the Jordan frame. Performing the conformal transformation of the metric, the potential and the mass of a scalar degree of freedom in the Einstein frame are found. The slow-roll and cosmological parameters of the model are evaluated. It was demonstrated that the index of the scalar spectrum power law, ns, is in agreement with the PLANCK data. View Full-Text
Keywords: Einstein–Hilbert action; modified gravity; Ricci scalar; Jordan and Einstein frames; cosmological parameters; Planck’s data Einstein–Hilbert action; modified gravity; Ricci scalar; Jordan and Einstein frames; cosmological parameters; Planck’s data

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Kruglov, S.I. Arctan-Gravity Model. Universe 2015, 1, 82-91.

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