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Phys. Rev. D 66, 046005 (2002) [14 pages]

Density perturbations in the ekpyrotic scenario

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Justin Khoury
Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544

Burt A. Ovrut
Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396

Paul J. Steinhardt
Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544

Neil Turok
DAMTP, CMS, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom

Received 17 September 2001; published 26 August 2002

We study the generation of density perturbations in the ekpyrotic scenario for the early universe, including gravitational backreaction. We expose interesting subtleties that apply to both inflationary and ekpyrotic models. Our analysis includes a detailed proposal of how the perturbations generated in a contracting phase may be matched across a “bounce” to those in an expanding hot big bang phase. For the physical conditions relevant to the ekpyrotic scenario, we reobtain our earlier result of a nearly scale-invariant spectrum of energy density perturbations. We find that the perturbation amplitude is typically small, as desired to match observation.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.046005
DOI:
10.1103/PhysRevD.66.046005
PACS:
11.25.-w, 04.50.+h, 98.62.Py, 98.80.Es