Perturbations of a Universe Filled with Dust and Radiation

Details Perturbations of a Universe Filled with Dust and Radiation Perturbations of a Universe Filled with Dust and Radiation

1995-11-13

arxiv.org/abs/gr-qc/9511039v1

Int.J.Theor.Phys. 34 (1995) 2275-2284

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pp, typeset in latex

Scientific paper

10.1007/BF00673842

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 $\xi$ agree with the relatively growing terms of the dust solution of Sachs and Wolfe.

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