Cosmological models and centre manifold theory

Alan D. Rendall

Cosmological models and centre manifold theory

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arxiv gr-qc/0112040 v1 pith:VX2EFKQM submitted 2001-12-17 gr-qc

Alan D. Rendall This is my paper · ORCID

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keywords centrecosmologicaleinsteinequationsmanifoldmodelssolutionssome

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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.

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Kaluza-Klein inspired a model of the inflation with the inversed power law potential in Bianchi type-I universe
gr-qc 2025-06 conditional novelty 4.0 of 10

For a Kaluza-Klein inspired vector-scalar model in Bianchi type-I with inverse power-law potential, center manifold theory shows the isotropic scalar-dominated point E is a stable attractor, supporting isotropization.

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