Perturbations of a Universe Filled with Dust and Radiation
Z. Perjés, A. Komárik
Abstract
A first-order perturbation approach to k=0 Friedmann cosmologies filled with dust and radiation is developed. Adopting the coordinate gauge comoving with the perturbed matter, and neglecting the vorticity of the radiation, a pair of coupled equations is obtained for the trace h of the metric perturbations and for the velocity potential v. A power series solution with upwards cutoff exists such that the leading terms for large values of the dimensionless time ξ agree with the relatively growing terms of the dust solution of Sachs and Wolfe.
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