Cosmology with polynomial potentials of the fourth degree in Einstein-Cartan theory

Mathematics – Logic

Scientific paper

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Scientific paper

Exact general solutions to the Einstein-Cartan equations are obtained for spatially flat isotropic and homogeneous cosmologies with a nonminimally coupled scalar field that has polynomial potentials of the fourth degree V(Φ). An analogous problem is investigated in Einstein's theory of general relativity. Some effects of torsion are elucidated. A comparative analysis of the cosmological models with and without V(Φ) is carried out in the context of the Einstein-Cartan theory. The role of the scalar field potential in the dynamics of models is discussed.

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