Cosmological perturbations: gauge-invariant vs. synchronous gauge analysis

Mathematics – Logic

Scientific paper

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Scientific paper

We present a summary of the results, in the large scale, that were derived from the gauge-invariant (GI) cosmological density perturbation analysis. Comparisons are made with the synchronous gauge (SG) results, pointing out past incorrect analyses concerning evolution during the inflationary era and the decaying mode during the matter dominated era. The GI method, using the covariant equations, is recommended for cosmological perturbation analysis, not only because of its gauge-independence, but because of its simplicity and similarity to the Newtonian analysis. Solutions in other specific gauges can simply be recovered from the known results of the GI analysis.

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