Anisotropic Bianchi type-III model in Palatini \(f (R)\) gravity
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- 作者：Debika Kangsha Banik ; Sebika Kangsha Banik ; Kalyan Bhuyan
- 关键词：Bianchi type ; III metric ; Palatini formalism ; \(f(R)\) ; gravity ; Dynamical systems approach
- 刊名：Astrophysics and Space Science
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：362
- 期：3
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Astrophysics and Astroparticles; Astronomy, Observations and Techniques; Cosmology; Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics); Astrobiology;
- 出版者：Springer Netherlands
- ISSN：1572-946X
- 卷排序：362
文摘
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.