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
1 Department of Physics, Liaoning Normal University, Dalian 1160292 Department of Basic, Dalian Naval Academy, Dalian 116018
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 $Q(L_{\rm m})=L_{\rm m}$.
收稿日期: 2015-12-07
出版日期: 2016-03-31
:
98.80.-k
(Cosmology)
98.80.Jk
(Mathematical and relativistic aspects of cosmology)
04.20.-q
(Classical general relativity)
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2016, Vol. 33 
