Chin. Phys. Lett.  2018, Vol. 35 Issue (12): 129801    DOI: 10.1088/0256-307X/35/12/129801
Gravitational constant in f(R) theories of gravity with non-minimal coupling between matter and geometry
Jun Wang**, Li-Jia Cao
School of Physics and Astronomy, Yunnan University, Kunming 650091
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Jun Wang, Li-Jia Cao 2018 Chin. Phys. Lett. 35 129801
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Abstract We study the effect of the non-minimal coupling between matter and geometry on the gravitational constant in the context of $f(R)$ theories of gravity on cosmic scales. For a class of $f(R)$ models, the result shows that the value of the gravitational constant not only changes over time but also has the dampened oscillation behavior. Compared with the result of the standard ${\it \Lambda}$CDM model, the consequence suggests that the coupling between matter and geometry should be weak.
Received: 05 August 2018      Published: 23 November 2018
PACS:  98.80.-k (Cosmology)  
  98.80.Jk (Mathematical and relativistic aspects of cosmology)  
  04.20.-q (Classical general relativity)  
Fund: Supported by the National Natural Science Foundation of China under Grant No 11647079, the Scientific Research Foundation of Education Department of Yunnan Province under Grant No 2016ZZX011, the Key Laboratory of Astroparticle Physics of Yunnan Province, and the Donglu Youth Teacher Plan of Yunnan University.
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Jun Wang
Li-Jia Cao
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