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Solution of a Braneworld Big Crunch/Big Bang Cosmology

Paul McFadden·Neil Turok·Paul J. Steinhardt
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Abstract

We solve for the cosmological perturbations in a five-dimensional background consisting of two separating or colliding boundary branes, as an expansion in the collision speed V divided by the speed of light c. Our solution permits a detailed check of the validity of four-dimensional effective theory in the vicinity of the event corresponding to the big crunch/big bang singularity. We show that the four-dimensional description fails at the first nontrivial order in (V/c)^2. At this order, there is nontrivial mixing of the two relevant four-dimensional perturbation modes (the growing and decaying modes) as the boundary branes move from the narrowly-separated limit described by Kaluza-Klein theory to the well-separated limit where gravity is confined to the positive-tension brane. We comment on the cosmological significance of the result and compute other quantities of interest in five-dimensional cosmological scenarios.

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Paul McFadden, Neil Turok, Paul J. Steinhardt. 2006-01-08. Solution of a Braneworld Big Crunch/Big Bang Cosmology. https://doi.org/10.1103/physrevd.76.104038

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