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- Although the standard lambda cold dark matter cosmological model is quite successful in describing the universe, there are still several issues that are still not resolved. Some of these are the cosmological constant problem, certain anomalies in the cosmic microwave background radiation and whether general relativity is valid on large scales. Therefore, it is interesting to examine modified theories in an attempt to solve these problems, and to examine the entire range of possibilities that are allowed. In this work, we examine one of these modified theories, viz., f(R,T) gravity. We study the homogeneous and isotropic models in this theory, which have some pleasing features, such as no initial singularity, a dynamic cosmological term, and a transition from early deceleration to late-time acceleration as intimated by observations. The physical parameters of the model, as well as the energy conditions, are discussed and a viable cosmological model can be constructed.
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- We consider a homogeneous and anisotropic cosmological model, namely, a Bianchi type-I model in which deceleration parameter is time dependent in the context of f (R, T ) gravity theory. To obtain exact solutions of the field equations, we use a form of the deceleration parameter that varies as the nth power of time, and covers Berman’s law (Nuovo Cimento B 74:182, 1983) where it is constant. For n =1, it covers cosmological models with linearly varying deceleration parameter given by Akarsu and Dereli (Int J Theor Phys 51:612, 2012). We extend the behavior of cosmological models for n = 2, and discuss the physical and geometrical properties of the model, and we show that the model is consistent with current observations.
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