Integrability and explicit solutions in some Bianchi cosmological dynamical systems
General Relativity and Quantum Cosmology
2015-06-25 v1
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 G_2 cosmologies. By using Darboux's theory in order to study ordinary differential equations in the complex projective plane CP^2 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.
Cite
@article{arxiv.gr-qc/0101127,
title = {Integrability and explicit solutions in some Bianchi cosmological dynamical systems},
author = {Javier Chavarriga and I. A. García},
journal= {arXiv preprint arXiv:gr-qc/0101127},
year = {2015}
}