Arctan-Gravity Model

被引：3
|
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
相关论文
共 50 条
  • [31] SIMULATION OF A GRAVITY MODEL
    FORBES, JD
    FOWLER, AG
    ANNALS OF REGIONAL SCIENCE, 1969, 3 (01): : 86 - 95
  • [32] Logarithmic gravity model
    Kruglov, S. I.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2023, 32 (06):
  • [33] Gravity and the spiral model
    Ord, G.N.
    Chaos, solitons and fractals, 10 (02): : 499 - 512
  • [34] A gravity model of immigration
    Lewer, Joshua J.
    Van den Berg, Hendrik
    ECONOMICS LETTERS, 2008, 99 (01) : 164 - 167
  • [35] An extension of the gravity model
    Drezner, Tammy
    Drezner, Zvi
    Zerom, Dawit
    JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2022, 73 (12) : 2732 - 2740
  • [36] ON THE SENSITIVITY OF THE GRAVITY MODEL
    ELFVING, T
    SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1981, 2 (01): : 19 - 24
  • [37] HETEROSCEDASTICITY AND GRAVITY MODEL
    STRONGE, WB
    SCHULTZ, RR
    GEOGRAPHICAL ANALYSIS, 1978, 10 (03) : 279 - 286
  • [38] Virtual Zero Gravity Impact on Internal Gravity Model
    Porssut, Thibault
    Debarba, Henrique G.
    Canzoneri, Elisa
    Herbelin, Bruno
    Boulic, Ronan
    2017 IEEE VIRTUAL REALITY (VR), 2017, : 309 - 310
  • [39] Comparing Arctan and Maximum Likelihood Methods for Bearing Estimation
    Liu, Chunsheng
    Maranda, Brian
    2012 OCEANS, 2012,
  • [40] GRAVITY MODEL DEVELOPMENT FOR TOPEX/POSEIDON - JOINT GRAVITY MODEL-1 AND MODEL-2
    NEREM, RS
    LERCH, FJ
    MARSHALL, JA
    PAVLIS, EC
    PUTNEY, BH
    TAPLEY, BD
    EANES, RJ
    RIES, JC
    SCHUTZ, BE
    SHUM, CK
    WATKINS, MM
    KLOSKO, SM
    CHAN, JC
    LUTHCKE, SB
    PATEL, GB
    PAVLIS, NK
    WALLIAMSON, RG
    RAPP, RH
    BIANCALE, R
    NOUEL, F
    JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 1994, 99 (C12) : 24421 - 24447
12345