Integrability and Explicit Solutions in Some Bianchi Cosmological Dynamical Systems
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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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TY - JOUR AU - J. Chavarriga AU - I.A. Garcia PY - 2001 DA - 2001/02/01 TI - Integrability and Explicit Solutions in Some Bianchi Cosmological Dynamical Systems JO - Journal of Nonlinear Mathematical Physics SP - 96 EP - 105 VL - 8 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2001.8.1.9 DO - 10.2991/jnmp.2001.8.1.9 ID - Chavarriga2001 ER -