Anisotropic Bianchi type-III model in Palatini f (R) gravity

作者：Banik Debika Kangsha; Banik Sebika Kangsha; Bhuyan Kalyan^*

来源：Astrophysics and Space Science, 2017, 362(3): 51.

DOI：10.1007/s10509-017-3031-1

• Bianchi type-III metric
• Palatini formalism
• f (R) gravity
• Dynamical systems approach

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.

• 出版日期2017-3