Perturbations in a regular bouncing Universe

Details Perturbations in a regular bouncing Universe Perturbations in a regular bouncing Universe

2005-03-21

arxiv.org/abs/hep-th/0503160v4

Phys.Rev. D73 (2006) 064013

Physics

High Energy Physics

High Energy Physics - Theory

v3: 10 pages, 1 figure, section III revised, conclusions changed, references added, typos corrected; v4: numerics added, ident

Scientific paper

10.1103/PhysRevD.73.064013

We consider a simple toy model of a regular bouncing universe. The bounce is caused by an extra time-like dimension, which leads to a sign flip of the $\rho^2$ term in the effective four dimensional Randall Sundrum-like description. We find a wide class of possible bounces: big bang avoiding ones for regular matter content, and big rip avoiding ones for phantom matter. Focusing on radiation as the matter content, we discuss the evolution of scalar, vector and tensor perturbations. We compute a spectral index of $n_s=-1$ for scalar perturbations and a deep blue index for tensor perturbations after invoking vacuum initial conditions, ruling out such a model as a realistic one. We also find that the spectrum (evaluated at Hubble crossing) is sensitive to the bounce. We conclude that it is challenging, but not impossible, for cyclic/ekpyrotic models to succeed, if one can find a regularized version.

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