Solution of a Braneworld Big Crunch/Big Bang Cosmology

Details Solution of a Braneworld Big Crunch/Big Bang Cosmology Solution of a Braneworld Big Crunch/Big Bang Cosmology

2005-12-12

arxiv.org/abs/hep-th/0512123v2

Phys.Rev.D76:104038,2007

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, 12 figures, URL updated & 3 references added

Scientific paper

10.1103/PhysRevD.76.104038

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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