Shear dynamics in Bianchi I cosmologies with R^n-gravity

Details Shear dynamics in Bianchi I cosmologies with R^n-gravity Shear dynamics in Bianchi I cosmologies with R^n-gravity

2006-03-06

arxiv.org/abs/gr-qc/0603012v2

Class.Quant.Grav.23:4915-4937,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages LaTeX, 6 figures. Revised to match the final version accepted for publication in CQG

Scientific paper

10.1088/0264-9381/23/15/011

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.

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