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Complete sets of functions for perturbations of Robertson Walker cosmologies

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Copyright 1991American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jsp

Abstract

Crucial to a knowledge of the perturbations of Robertson Walker cosmological models is a knowledge of complete sets of functions with which to expand such perturbations. For the open Robertson Walker cosmology, this question will be completely answered. In addition, some observations will be made concerning explicit solution by separation of variables of wave equations for spin s in a Riemannan space having an infinitesmal line element of which the Robertson Walker models are a special case.

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Kalnins, E.G. & Miller, W., Jr. (1991). Complete sets of functions for perturbations of Robertson Walker cosmologies. Journal of Mathematical Physics, 32, 1415.

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