Gravitational instability in a multicomponent cosmological medium

A systematic approach to exact solutions for the evolution of small density inhomogeneities of a two‐component and in special cases for a three‐component cosmological medium is presented. In general, there exists just one increasing perturbation mode. Expressing the solutions of the respective diffe...

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Bibliographic Details
Published in:Journal of mathematical physics 1988-09, Vol.29 (9), p.2069-2077
Main Authors: Mathai, A. M., Haubold, H. J., Mücket, J. P., Gottlöber, S., Müller, V.
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Physics
Self-graviting systems
continuous media and classical fields in curved spacetime
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Summary:A systematic approach to exact solutions for the evolution of small density inhomogeneities of a two‐component and in special cases for a three‐component cosmological medium is presented. In general, there exists just one increasing perturbation mode. Expressing the solutions of the respective differential equations in terms of Meijer’s G function [Proc. Nederl. Akad. Wetensch. A 4 9, 344 (1946)] various exact and asymptotic formulas for the perturbation modes are derived.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.527864