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Title:
Cosmological perturbations on a bouncing brane
Authors:
Brandenberger, Robert; Firouzjahi, Hassan; Saremi, Omid
Affiliation:
AA(Physics Department, McGill University, 3600 University Street, Montreal,Quebec H3A 2T8, Canada ), AB(Physics Department, McGill University, 3600 University Street, Montreal,Quebec H3A 2T8, Canada ), AC(Physics Department, McGill University, 3600 University Street, Montreal,Quebec H3A 2T8, Canada )
Publication:
Journal of Cosmology and Astroparticle Physics, Issue 11, pp. 028 (2007).
Publication Date:
11/2007
Origin:
IOP
DOI:
10.1088/1475-7516/2007/11/028
Bibliographic Code:
2007JCAP...11..028B

Abstract

The cosmological perturbations on a bouncing brane are studied. The brane is moving inside a Klebanov Strassler throat where the infrared region of the geometry is smoothly cut off. For an observer confined to the world volume of the brane, this results in a non-singular bouncing mirage cosmology. We have calculated the scalar perturbations corresponding to the normal displacements of the brane. This is performed in the probe brane limit where the gravitational back-reaction of the brane on the bulk throat is absent. Our model provides a framework for studying the transfer of fluctuations from a contracting to an expanding phase. We find that the spectral index of the dominant mode of the metric fluctuation is unchanged, unlike what is obtained by gluing contracting to expanding Einstein universes with the help of the usual matching conditions. Assuming that the fluctuations start off in a vacuum state on sub-Hubble scales during the contracting phase, it is shown that the resulting spectral index ns on super-Hubble scales in the expanding phase has a large blue tilt. When the brane is moving slowly inside the throat and its kinetic energy is negligible compared to its rest mass, one finds ns = 3. For a fast-rolling brane with a large kinetic energy, the spectral index is ns = 2.3. This may put severe constraints on models of mirage cosmology.
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