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COSMOLOGICAL DYNAMICS OF MODIFIED GRAVITY WITH A NONMINIMAL CURVATURE-MATTER COUPLING

TAHEREH AZIZI

Department of Physics, Faculty of Basic Sciences, University of Mazandaran, Bobolsar 47416-95447, Iran

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and

EMAD YARAIE

Department of Physics, Faculty of Basic Sciences, University of Mazandaran, Bobolsar 47416-95447, Iran

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https://doi.org/10.1142/S0218271814500217Cited by:14 (Source: Crossref)

Abstract

We perform a phase space analysis of a nonminimally coupled modified gravity theory with the Lagrangian density of the form , where f₁(R) and f₂(R) are arbitrary functions of the curvature scalar R and is the matter Lagrangian density. We apply the dynamical system approach to this scenario in two particular models. In the first model we assume f₁(R) = 2R with a general form for f₂(R) and set favorable values for effective equation of state parameter which is related to the several epochs of the cosmic evolution and study the critical points and their stability in each cosmic eras. In the second case, we allow the f₁(R) to be an arbitrary function of R and set f₂(R) = 2R. We find the late-time attractor solution for the model and show that this model has a late-time accelerating epoch and an acceptable matter era.

Keywords:

PACS: 04.50.Kd, 95.36.+x, 98.80.-k, 98.80.Jk

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