Cosmological constant and the dynamics of the Bianchi type I models with spin and torsion: A qualitative investigation

Mathematics – Logic

Scientific paper

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Scientific paper

By including the cosmological term in the minimum quadratic (Poincaré) gauge theory of gravity, the basic equation set for the homogeneous anisotropic Bianchi type I spinning-fluid models are obtained. For the linear equation of state, using methods of qualitative theory of dynamical systems, we make the complete qualitative analysis of properties of every possible solution of these equations, In particular, some solutions with regular behaviour of the metric and torsion are found.

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