Abstract
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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