Shear-free anisotropic cosmological models in \({\varvec{f}\,\varvec{(R)}}\)

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• 作者：Amare Abebe ; Davood Momeni ; Ratbay Myrzakulov
• 关键词：Shear ; free spacetimes ; Homogeneity ; Cosmic anisotropy ; Modified gravity ; Expansion ; Inflation ; Cosmological perturbations
• 刊名：General Relativity and Gravitation
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：48
• 期：4
• 全文大小：621 KB
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• 作者单位：Amare Abebe (1) (2)
  Davood Momeni (3)
  Ratbay Myrzakulov (3)
  
  1. Department of Physics, North-West University, Mahikeng, 2735, South Africa
  2. Entoto Observatory and Research Center, P.O. Box 33679, Addis Ababa, Ethiopia
  3. Department of General and Theoretical Physics, Eurasian International Center for Theoretical Physics, Eurasian National University, Astana, Kazakhstan, 010008
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Relativity and Cosmology
  Differential Geometry
  Quantum Physics
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Netherlands
• ISSN：1572-9532

文摘

We study a class of shear-free, homogeneous but anisotropic cosmological models with imperfect matter sources in the context of f(R) gravity. We show that the anisotropic stresses are related to the electric part of the Weyl tensor in such a way that they balance each other. We also show that within the class of orthogonal f(R) models, small perturbations of shear are damped, and that the electric part of the Weyl tensor and the anisotropic stress tensor decay with the expansion as well as the heat flux of the curvature fluid. Specializing in locally rotationally symmetric spacetimes in orthonormal frames, we examine the late-time behaviour of the de Sitter universe in f(R) gravity. For the Starobinsky model of f(R), we study the evolutionary behavior of the Universe by numerically integrating the Friedmann equation, where the initial conditions for the expansion, acceleration and jerk parameters are taken from observational data.