On matching conditions for cosmological perturbations
Nathalie Deruelle, V.F. Mukhanov
TL;DR
This paper derives the conditions for matching cosmological perturbations across sharp transitions in the universe's equation of state, clarifies related physics, and confirms standard inflationary fluctuation predictions, with applications to string cosmology.
Contribution
It provides a rigorous derivation of matching conditions for perturbations during sharp transitions and clarifies misconceptions in previous literature.
Findings
Matching conditions are derived for sharp equation of state changes.
The physics of transitions is clarified, resolving previous misconceptions.
Standard inflationary fluctuation predictions are confirmed.
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.
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