SHEAR DYNAMICS IN BIANCHI I COSMOLOGIES WITH Rn-GRAVITY

J. A. LEACH, P. K. S. DUNSBY, S. CARLONI
2008 The Eleventh Marcel Grossmann Meeting  
We give the equations governing the shear evolution in Bianchi spacetimes for general f (R)-theories of gravity. We consider the case of R ngravity 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
more » ... hear anisotropies which approaches a constant value.
doi:10.1142/9789812834300_0109 fatcat:qscv4ghembfdbesaeswmk5coji