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Integrability and explicit solutions in some Bianchi cosmological dynamical systems

Javier Chavarriga·I. A. García
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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 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.

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Javier Chavarriga, I. A. García. 2001-01-01. Integrability and explicit solutions in some Bianchi cosmological dynamical systems. https://doi.org/10.2991/jnmp.2001.8.1.9

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