Relativistic theory of spherically symmetric perturbation in dust universe.

Mathematics – Logic

Scientific paper

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Cosmological Models: Relativity Theory

Scientific paper

Starting from the initial value formulation of dust solution given in paper 161.308 a relativistic perturbation equation and its general solutions in spherically symmetric universes are derived. It is found that these solutions are in analogy with the Bonnor-Weinberg results of the Newtonian theory and contain three modes: a growing mode, a decaying mode, and a constant mode.

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