Spatially homogeneous and isotropic spaces in theories of gravitation with torsion

Statistics – Computation

Scientific paper

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Cosmology, Gauge Theory, Gravitation Theory, Torsion, Computational Astrophysics, Curvature, Differential Equations, Singularity (Mathematics)

Scientific paper

This is a comprehensive study of spatially homogeneous and SO(3)-isotropic exact solutions for the 10-parameter Lagrangian of the 'Poincaregauge theory'. Some sets of new exact solutions are presented. In particular, all solutions following from the so-called modified double-duality ansatz are obtained, up to integration of some familiar ordinary differential equations. For certain classes of solutions, the occurrence of torsion singularities is discussed in detail. Furthermore, the ability of some solutions without metric singularity to provide reasonable cosmological models is investigated.

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