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Density perturbations in a flat universe
Authors:Marcelo Samuel Berman
Institution:(1) Dept. of Astronomy, University of Florida, 211 SSRB, 32611 Gainesville, FL, USA;(2) Present address: Departamento de Ciencias Exatas, Faculdade de Filosofia, Ciencias e Letras da FURJ, 89200 Joinville, SC, Brazil
Abstract:A well-known solution, for a flat model in general relativity obeying the Robertson-Walker metric, a perfect fluid energy-tensor and a perfect gas law of state, with constant deceleration parameter, is now shown to yield growing scalar density perturbations, provided thatq > 0. This study generalizes Weinberg's results for the radiation phase, and shows that any realistic model of this kind contains gravitational instabilities
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