| GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS |
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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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| Cite this article: |
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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 $Q(L_{\rm m})=L_{\rm m}$.
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Received: 07 December 2015
Published: 31 March 2016
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| PACS: |
98.80.-k
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(Cosmology)
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98.80.Jk
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(Mathematical and relativistic aspects of cosmology)
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04.20.-q
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(Classical general relativity)
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