title: |
Integrability and Explicit Solutions in Some Bianchi Cosmological Dynamical Systems |
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publication: |
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| volume-issue: | 8 - 1 | |
| pages: | 96 - 105 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2001.8.1.9 (how to use a DOI) | |
author(s): |
J CHAVARRIGA, I A GARCIA |
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publication date: |
February 2001 |
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abstract: |
The Einstein field equations for several cosmological models reduce to polynomial
systems of ordinary differential equations. In this paper we shall concentrate our
attention to the spatially homogeneous diagonal G2 cosmologies. By using Darboux's
theory in order to study ordinary differential equations in the complex projective
plane CP2
we solve the Bianchi V models totally. Moreover, we carry out a study of
Bianchi VI models and first integrals are given in particular cases. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |