Chin. Phys. Lett.  2016, Vol. 33 Issue (03): 039801    DOI: 10.1088/0256-307X/33/3/039801
GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS |
Consistency Conditions and Constraints on Generalized $f(R)$ Gravity with Arbitrary Geometry-Matter Coupling
Si-Yu Wu1, Ya-Bo Wu1**, Yue-Yue Zhao2, Xue Zhang1, Cheng-Yuan Zhang1, Bo-Hai Chen1
1Department of Physics, Liaoning Normal University, Dalian 116029
2Department of Basic, Dalian Naval Academy, Dalian 116018
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Si-Yu Wu, Ya-Bo Wu, Yue-Yue Zhao et al  2016 Chin. Phys. Lett. 33 039801
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Abstract We study the consistency conditions of the generalized $f(R)$ gravity by extending $f(R)$ gravity with non-minimal coupling to the generalized $f(R)$ with arbitrary geometry-matter coupling. Specifically, we discuss the two particular models of generalized $f(R)$ by means of consistency conditions. It is found that the second model is not physically viable so as to be ruled out. Moreover, we further constrain the first model using the Dolgov–Kawasaki stability criterion, and give the value ranges of the parameters in the first model. It is worth stressing that our results include the ones in $f(R)$ gravity with non-minimal coupling as the special case of $Q(L_{\rm m})=L_{\rm m}$.
Received: 07 December 2015      Published: 31 March 2016
PACS:  98.80.-k (Cosmology)  
  98.80.Jk (Mathematical and relativistic aspects of cosmology)  
  04.20.-q (Classical general relativity)  
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http://cpl.iphy.ac.cn/10.1088/0256-307X/33/3/039801       OR      http://cpl.iphy.ac.cn/Y2016/V33/I03/039801
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Si-Yu Wu
Ya-Bo Wu
Yue-Yue Zhao
Xue Zhang
Cheng-Yuan Zhang
Bo-Hai Chen
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