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arXiv · gr-qc/9511039

Perturbations of a Universe Filled with Dust and Radiation

Z. Perjés·A. Komárik
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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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Z. Perjés, A. Komárik. 1995-11-13. Perturbations of a Universe Filled with Dust and Radiation. https://doi.org/10.1007/bf00673842

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