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Phys. Rev. D 68, 103517 (2003) [16 pages]

Parametric amplification of metric fluctuations through a bouncing phase

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Jérôme Martin* and Patrick Peter
Institut d’Astrophysique de Paris, GReCO, FRE 2435-CNRS, 98bis boulevard Arago, 75014 Paris, France

Received 8 July 2003; published 25 November 2003

We clarify the properties of the behavior of classical cosmological perturbations when the Universe experiences a bounce. This is done in the simplest possible case for which gravity is described by general relativity and the matter content has a single component, namely, a scalar field in a closed geometry. We show in particular that the spectrum of scalar perturbations can be affected by the bounce in a way that may depend on the wave number, even in the large scale limit. This may have important implications for string motivated models of the early Universe.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.103517
DOI:
10.1103/PhysRevD.68.103517
PACS:
98.80.Cq, 98.70.Vc

*Electronic address: jmartin@iap.fr

Electronic address: peter@iap.fr