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Cosmological models and centre manifold theory

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Rendall,  Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rendall, A. D. (2002). Cosmological models and centre manifold theory. General Relativity and Gravitation, 34, 1277-1294.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-54F8-4
Abstract
Centre manifold theory is applied to some dynamical systems arising from spatially homogeneous cosmological models. Detailed information is obtained concerning the late-time behaviour of solutions of the Einstein equations of Bianchi type III with collisionless matter. In addition some statements in the literature on solutions of the Einstein equations coupled to a massive scalar field are proved rigorously.