Perturbations in a Bouncing Brane Model

Abstract

The question of how perturbations evolve through a bounce in the Cyclic and Ekpyrotic models of the Universe is still a matter of ongoing debate. In this report we show that the collision between boundary branes is in most cases singular even in the full 5-D formalism, and that first order perturbation theory breaks down for at least one perturbation variable. Only in the case that the boundary branes approach each other with constant velocity shortly before the bounce, can a consistent, non singular solution be found. It is then possible to follow the perturbations explicitly until the actual collision. In this case, we find that if a scale invariant spectrum developed on the hidden brane, it will get transferred to the visible brane during the bounce.

15 pages, minor modifications, a few typos corrected

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• The Cyclic Model Simplified
• Scale-invariance in expanding and contracting universes from two-field models
• Vector Perturbations in a Contracting Universe
• Cosmic Perturbations Through the Cyclic Ages
• Cosmological Hysteresis and the Cyclic Universe
• Modulated Perturbations from Instant Preheating after new Ekpyrosis
• On the Transfer of Metric Fluctuations when Extra Dimensions Bounce or Stabilize
• Viable tensor-to-scalar ratio in a symmetric matter bounce
• Duality and scale invariant magnetic fields from bouncing universes
• Early Universe Dynamics in Semi-Classical Loop Quantum Cosmology
• Emergent universe scenario and the low CMB multipoles
• Cross-correlations between scalar perturbations and magnetic fields in bouncing universes
• Perturbations in a regular bouncing Universe
• Non-local Matching Condition and Scale-invariant Spectrum in Bouncing Cosmology
• Emergent universe revisited through the CSL theory
• Theory of Cosmological Perturbations and Applications to Superstring Cosmology
• Dynamics of the universe as a "test 3-brane" in a 5D bulk