Shear dynamics in Bianchi I cosmologies with R^n-gravity
General Relativity and Quantum Cosmology
2010-11-05 v2 Astrophysics
High Energy Physics - Theory
Abstract
We give the equations governing the shear evolution in Bianchi spacetimes for general f(R)-theories of gravity. We consider the case of R^n-gravity and perform a detailed analysis of the dynamics in Bianchi I cosmologies which exhibit local rotational symmetry. We find exact solutions and study their behaviour and stability in terms of the values of the parameter n. In particular, we found a set of cosmic histories in which the universe is initially isotropic, then develops shear anisotropies which approaches a constant value.
Cite
@article{arxiv.gr-qc/0603012,
title = {Shear dynamics in Bianchi I cosmologies with R^n-gravity},
author = {Jannie A Leach and Sante Carloni and Peter K S Dunsby},
journal= {arXiv preprint arXiv:gr-qc/0603012},
year = {2010}
}
Comments
25 pages LaTeX, 6 figures. Revised to match the final version accepted for publication in CQG