1205.6637 (Atanu Kumar)

Growth of covariant perturbations in the contracting phase of a bouncing
universe    [PDF]

Atanu Kumar

Motivated by a recent work [arXiv:1111.0888], in this paper we have examined the validity of linear perturbation theory near bounce in covariant analysis. Some linearity parameters are defined to set up conditions for linear theory. Linear evolution of density perturbation and gravitational waves have been computed previously. We have calculated the vector and scalar induced part of the shear tensor. It has been shown for radiation-like and dust-like single fluid dominated collapsing FLRW background, that the linearity conditions are not satisfied near bounce.

View original: http://arxiv.org/abs/1205.6637