Solution of a braneworld big crunch/big bang cosmology

Journal Article · Thu Nov 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.104038· OSTI ID:21027864

McFadden, Paul L; Turok, Neil; Steinhardt, Paul J ^[1]

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1. DAMTP, Center for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WA (United Kingdom)

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){sup 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.

• OSTI ID: 21027864
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BRANES
COSMOLOGY
DISTURBANCES
FOUR-DIMENSIONAL CALCULATIONS
GRAVITATION
KALUZA-KLEIN THEORY
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
PERTURBATION THEORY
QUANTUM FIELD THEORY
SINGULARITY
VELOCITY