Constraints on some f(R) gravity models in the Palatini formalism from a time-varying gravitational constant

Journal Article · Wed Apr 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.083536· OSTI ID:21308293

Chengbing, Li; Zhongzhu, Liu; Chenggang, Shao ^[1]

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1. Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 (China)

In this work, we studied how the relative variation of the gravitational constant |G/G|{sub 0} at the redshift z=0 restricts model parameters in Palatini f(R) gravity. According to results from the observation of big bang nucleosynthesis and the anisotropies in the cosmic microwave background radiation, the ratio that gives the general constraint condition on the f(R) model is taken to be |G/G|{sub 0}<10{sup -13} yr{sup -1}. Associating with the scalar curvature at present, this constraint condition yields concrete relations among model parameters in the generalized {lambda}CDM model, the logarithmic Lagrangian, and the exponential gravity model. These constraint relations which can be reconcilable with the value |G/G|{sub 0}<10{sup -13} yr{sup -1} are plotted.

• OSTI ID: 21308293
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ANISOTROPY
GRAVITATION
LAGRANGIAN FUNCTION
NUCLEOSYNTHESIS
RED SHIFT
RELICT RADIATION