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We investigate the large scale cosmological perturbation in the Universe withmultiple perfect fluids. Using the long-wavelength approximation withHamilton-Jacobi method, we derive the formula for the gauge invariant comovingcurvature perturbation. As an application of our approach, we examine the largescale perturbation in a brane cosmology.Comment: to be published in CQ

Long-wavelength cosmological perturbation in the Universe with multiple perfect fluids