Cosmological Perturbations Generated in the Colliding Bubble Braneworld Universe

Abstract

We compute the cosmological perturbations generated in the colliding bubble braneworld universe in which bubbles filled with five-dimensional anti-de Sitter space (AdS5)expanding within a five dimensional de Sitter space (dS5) or Minkowski space (M5) collide to form a (3+1) dimensional local brane on which the cosmology is virtually identical to that of the Randall-Sundrum model. The perturbation calculation presented here is valid to linear order but treats the fluctuations of the expanding bubbles as (3+1) dimensional fields localized on the bubble wall. We find that for bubbles expanding in dS5 the dominant contribution to the power spectrum is `red' but very small except in certain cases where the fifth dimension is not large or the bubbles have expanded to far beyond the dS5 apparent horizon length. This paper supersedes a previous version titled "Exactly Scale-Invariant Cosmological Perturbations From a Colliding Bubble Braneworld Universe" in which we erroneously claimed that a scale-invariant spectrum results for the case of bubbles expanding in M5. This present paper corrects the errors of the previous version and extends the analysis to the more interesting and general case of bubbles expanding in dS5.

29 pages Latex with eps figures. Major errors in the original version of the paper corrected and analysis extended to bubbles expanding in dS5

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• Homogeneity, Flatness and "Large" Extra Dimensions
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Cited by in corpus (17)

• Brane-World Gravity
• Brane-world gravity
• Dynamics of Brane-World Cosmological Models
• Towards observable signatures of other bubble universes II: Exact solutions for thin-wall bubble collisions
• When do colliding bubbles produce an expanding universe?
• Brane Big-Bang Brought by Bulk Bubble
• Causal Structure and Gravitational Waves in Brane World Cosmology
• Cosmological perturbations in the 5D Big Bang
• Brane-world cosmology
• Duality of boundary value problems and braneworld action in curved brane models
• Braneworld Flux Inflation
• Separation Distribution of Vacuum Bubbles in de Sitter Space
• Classical dynamics of quantum fluctuations
• The Dynamics of Brane-World Cosmological Models
• Classical paths in systems of fermions
• The Global Structure of the Colliding Bubble Braneworld Universe
• Solitonic Brane Inflation