Abstract
We derive exact solutions for anisotropic Bianchi type-III cosmological model in the Palatini formalism of \(f (R)\) gravity using Dynamical System Approach. For the \(f (R)\) of the form \(f(R) =R-\beta /R^{n} \) and \(f(R) =R+\alpha R^{m} \), we have found the fixed points describing the radiation-dominated, matter dominated and de Sitter evolution periods. Fixed points have also been found which have non-vanishing shear playing a very significant role in describing the anisotropy present in the early universe. In addition, we have also found that the spatial curvature affect isotropisation of this cosmological model.
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Banik, D.K., Banik, S.K. & Bhuyan, K. Anisotropic Bianchi type-III model in Palatini \(f (R)\) gravity. Astrophys Space Sci 362, 51 (2017). https://doi.org/10.1007/s10509-017-3031-1
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DOI: https://doi.org/10.1007/s10509-017-3031-1