Open Universes from Finite Radius Bubbles

Abstract

The interior of a vacuum bubble in de Sitter space may give an open universe with sufficient homogeneity to agree with observations. Here, previous work by Bucher, Goldhaber and Turok is extended to describe a thin bubble wall with nonzero radius and energy difference across the wall. The vacuum modes present before formation of the bubble propagate into the interior of open universe and the power spectrum of the resulting gauge invariant gravitational potential is calculated. It is found to become scale invariant on small scales, with onset at about the same scale as that found in the zero radius case. There is sensitivity to the radius and energy difference at large scales, but it is expected that they cannot be strongly constrained because of cosmic variance. As the prediction of a scale invariant spectrum is robust with respect to variation of these parameters at small scales, it is a generic feature of the contribution of these modes for these thin wall models.

15 pages, LaTeX and revtex macros, final version to appear in Physical Review D, typos and minor wording changes

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Cited by in corpus (14)

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• COBE-DMR-Normalized Open CDM Cosmogonies
• Spectrum of Cosmological Perturbations in the One-Bubble Open Universe
• Quasi-open inflation
• Primordial Gravitational Waves From Open Inflation
• Wall fluctuation modes and tensor CMB anisotropy in open inflation models
• Quantized gravitational waves in the Milne universe
• Open Hybrid Inflation
• Open inflation models and gravitational wave anisotropies in the CMB
• Complete power spectrum for an induced gravity open inflation model
• Microwave background anisotropies in quasiopen inflation
• Fluctuations in the Hawking Turok model
• An Open Universe from Valley Bounce
• Open universes from bubbles: an introduction and update