The nonsingular quantum cosmological models with nontrivial topology in conformal (super) gravity.

Mathematics – Logic

Scientific paper

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Cosmology: Supergravity, Cosmology: Inflationary Universe, Cosmology: Quantum Gravity

Scientific paper

The one-loop effective action (EA) in conformal (super) gravity on a background which is described by a homogeneous isotropic spatially flat metric with nontrivial topology is calculated. Nonsingular cosmologies with nontrivial topology are constructed on the basis of this EA. A cosmological model with a metric corresponding to an inflationary universe and reducing torsion is obtained in the framework of quantum conformal gravity with torsion.

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