On matching conditions for cosmological perturbations

Abstract

We derive the matching conditions for cosmological perturbations in a Friedmann Universe where the equation of state undergoes a sharp jump, for instance as a result of a phase transition. The physics of the transition which is needed to follow the fate of the perturbations is clarified. We dissipate misleading statements made recently in the literature concerning the predictions of the primordial fluctuations from inflation and confirm standard results. Applications to string cosmology are considered.

20 pages, latex (revtex), no figures

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• The Cold Dark Matter Density Perturbation
• The Graceful Exit Problem in String Cosmology
• Dilaton Production in String Cosmology
• Metric Perturbations in Dilaton-Driven Inflation
• Density Perturbations of Quantum Mechanical Origin and Anisotropy of the Microwave Background

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