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Universe 2017, 3(1), 15; doi:10.3390/universe3010015

The Singularity Problem in Brane Cosmology

1
Laboratoire de physique théorique et hautes energies (LPTHE), Les Unités Mixtes de Recherche (UMR) CNRS 7589, Sorbonne Universités, UPMC Paris 6, 4 place Jussieu, T13-14, 75005 Paris, France
2
Albert Einstein Center for Fundamental Physics, ITP, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
3
Department of Mathematics, American University of the Middle East, P. O. Box 220, 15453, Dasman, Kuwait
On leave from the University of the Aegean, Greece.
*
Author to whom correspondence should be addressed.
Academic Editors: Lorenzo Iorio, Elias C. Vagenas, Stephon Alexander and Jean-Michel Alimi
Received: 31 December 2016 / Revised: 7 February 2017 / Accepted: 7 February 2017 / Published: 16 February 2017
View Full-Text   |   Download PDF [211 KB, uploaded 16 February 2017]

Abstract

We review results about the development and asymptotic nature of singularities in “brane–bulk” systems. These arise for warped metrics obeying the five-dimensional Einstein equations with fluid-like sources, and including a brane four-metric that is either Minkowski, de Sitter, or Anti-de Sitter. We characterize all singular Minkowski brane solutions, and look for regular solutions with nonzero curvature. We briefly comment on matching solutions, energy conditions, and finite Planck mass criteria for admissibility, and we briefly discuss the connection of these results to ambient theory. View Full-Text
Keywords: Brane cosmological models; singularities; asymptotic analysis Brane cosmological models; singularities; asymptotic analysis
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Antoniadis, I.; Cotsakis, S. The Singularity Problem in Brane Cosmology. Universe 2017, 3, 15.

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