Spectrum of Cosmological Perturbations in the One-Bubble Open Universe

Details Spectrum of Cosmological Perturbations in the One-Bubble Open Universe Spectrum of Cosmological Perturbations in the One-Bubble Open Universe

1998-11-16

arxiv.org/abs/astro-ph/9811257v2

Nucl.Phys.B551:317-373,1999

Astronomy and Astrophysics

Astrophysics

41 pages, revtex, 6 figures. One figure added, presentation improved

Scientific paper

10.1016/S0550-3213(99)00181-9

The spectrum of cosmological perturbations in the context of the one-bubble open inflation model is discussed, taking into account fluctuations of the metric. We find that, quite generically,thin wall single field models have no supercurvature modes. However, single field models with supercurvature modes do exist. In these models the density parameter $\Omega$ becomes a random variable taking a range of values inside of each bubble. We also show that the model dependence of the continuous spectrum for both scalar and tensor-type perturbations is small as long as the kinetic energy density of the background field does not dominate the total energy density. We conclude that the spectrum of the density perturbation predicted in the single-field model of the one-bubble open inflation is rather robust. We also consider the spectrum of scalar and tensor perturbations in a model of the Hawking-Turok type, without a false vacuum.

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