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Exact Solutions For Bianchi Type-I Cosmological Models In F(R) Theory Of Gravity, A. H. Hasmani, Ahmed M. Al-Haysah
Exact Solutions For Bianchi Type-I Cosmological Models In F(R) Theory Of Gravity, A. H. Hasmani, Ahmed M. Al-Haysah
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we attempt to study spatially homogeneous Bianchi type-I cosmological models in f(R) theory of gravity. The exact solutions of the Einstein’s field equations (EFEs) have been obtained by assuming that the expansion θ is proportional to the shear δ and by using a special form of Hubble parameter (HP). Here we find two exact solutions by using the variation law of H based on two different values of n. The physical and geometrical properties of these models have been discussed and the function f(R) of the Ricci scalar R is obtained for each case.