English

Cosmological models and centre manifold theory

General Relativity and Quantum Cosmology 2021-10-20 v1

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.

Keywords

Cite

@article{arxiv.gr-qc/0112040,
  title  = {Cosmological models and centre manifold theory},
  author = {Alan D. Rendall},
  journal= {arXiv preprint arXiv:gr-qc/0112040},
  year   = {2021}
}

Comments

17 pages

R2 v1 2026-07-22T12:34:55.691Z