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Using the existence of a covariant conserved quantity on large perturbationscales in a spatially flat perfect fluid or scalar field universe, we present ageneral formula for gauge-invariantly defined comoving energy densityperturbations which encodes the entire linear perturbation dynamics in a closedtime integral. On this basis we discuss perturbation modes in differentcosmological epochs.Comment: 4 pages, Revtex, to appear in PR

Covariant cosmological perturbation dynamics in the large-scale limit