Scale-invariant Perturbation of the Friedmann Universe

E. Abdalla; Roya Mohayaee

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arXiv · astro-ph/9706181

Scale-invariant Perturbation of the Friedmann Universe

E. Abdalla·Roya Mohayaee

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Abstract

We use de Vaucouleurs' power-law density-distance relation, to study a hierarchical perturbation of the Friedmann universe. We solve the Einstein equation and obtain the density contrast and the amplification factor for the perturbation. It is shown that, scale-invariant inhomogeneities decay in Einstein-de-Sitter universe. On the contrary, in an open universe, the inhomogeneities grow. For low values of $Ω$, amplification peaks sharply and the fluctuations can grow by up to a factor of $10^{13}$ from the recombination to the present time. Our analysis of the closed universe further confirms that, unlike the common belief that perturbations grow faster with increasing $Ω$, scale-invariant perturbations amplify with decreasing $Ω$. This result is consistent with the very low density expected for a hierarchical universe.

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E. Abdalla, Roya Mohayaee. 1998-11-13. Scale-invariant Perturbation of the Friedmann Universe. https://arxiv.org/abs/astro-ph/9706181

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