Separation Distribution of Vacuum Bubbles in de Sitter Space

Details Separation Distribution of Vacuum Bubbles in de Sitter Space Separation Distribution of Vacuum Bubbles in de Sitter Space

2002-07-23

arxiv.org/abs/hep-ph/0207275v1

Phys.Lett. B546 (2002) 8-18

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages REVTEX, 2 Postscript figures

Scientific paper

10.1016/S0370-2693(02)02662-X

We compute the probability distribution of the invariant separation between nucleation centers of colliding true vacuum bubbles arising from the decay of a false de Sitter space vacuum. We find that even in the limit of a very small nucleation rate per unit Hubble volume the production of widely separated bubble pairs is suppressed. This distribution is of particular relevance for the recently proposed ``colliding bubble braneworld'' scenario, in which the value of Omega_k (the contribution of negative spatial curvature to the cosmological density parameter) is determined by the invariant separation of the colliding bubble pair. We also consider the probability of a collision with a `third' bubble.

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