Scale-invariant Perturbation of the Friedmann Universe

dc.creatorAbdalla, E.
dc.creatorMohayaee, Roya
dc.date1997-06-17
dc.date1998-11-13
dc.date.accessioned2026-07-07T08:58:27Z
dc.date.available2026-07-07T08:58:27Z
dc.descriptionWe 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.
dc.descriptionextended version with new diagrams and discussions
dc.identifierhttps://arxiv.org/abs/astro-ph/9706181
dc.identifierhttp://arxiv.org/abs/astro-ph/9706181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147328
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleScale-invariant Perturbation of the Friedmann Universe
dc.typetext

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