An analysis of the shear dynamics in Bianchi I cosmologies with $R^n$-gravity

Leach, Jannie A.; Dunsby, Peter K. S.; Carloni, Sante

An analysis of the shear dynamics in Bianchi I cosmologies with $R^n$-gravity

Authors

Leach, Jannie A.

Dunsby, Peter K. S.

Carloni, Sante

Description

We consider the case of $R^n$-gravity and perform a detailed analysis of the dynamics in Bianchi I cosmologies which exhibit {\it local rotational symmetry} (LRS). 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.
4 pages, 2 figures; to appear in the proceedings of the MG11