Solutions of gauge invariant cosmological perturbations in long-wavelength limit

Abstract

We investigate gauge invariant cosmological perturbations in a spatially flat Friedman-Robertson-Walker universe with scalar fields. It is well known that the evolution equation for the gauge invariant quantities has exact solutions in the long-wavelength limit. We find that these gauge invariant solutions can be obtained by differentiating the background solution with respect to parameters contained in the background system. This method is very useful when we analyze the long-wavelength behavior of cosmological perturbation with multiple scalar fields.

17 pages, will appear in Classical and Quantum Gravity

References in corpus (3)

• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Metric perturbations in two-field inflation
• Characteristics of Cosmic Time

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