Arctan-Gravity Model

被引：4
|
作者：
Kruglov, Sergey I. [1 ]
机构：
[1] Univ Toronto, Dept Chem & Phys Sci, 3359 Mississauga Rd North, Mississauga, ON L5L IC6, Canada
来源：
UNIVERSE | 2015年 / 1卷 / 01期
关键词：
Einstein-Hilbert action; modified gravity; Ricci scalar; Jordan and Einstein frames; cosmological parameters; Planck's data; CONSISTENT; STABILITY;
D O I：
10.3390/universe1010082
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
A new gravity model with the function F (R) = (1/beta) arctan (beta R-beta(2) R-2) 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, n(s), is in agreement with the PLANCK data.
引用
收藏
页码：82 / 91
页数：10
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