Singularity, initial conditions, quantum tunneling and scalar field in modern cosmology.

Physics

Scientific paper

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Cosmology: Quantum Effects, Cosmology: Singularities

Scientific paper

The authors consider classical and quantum dynamics of cosmological models with complex and real scalar fields and compare ideas elaborated in the course of modern development of cosmology with those put forward 25 years ago in the cycle of papers devoted to oscillatory approach to singularity. The peculiarities of the quantum tunneling processes determining the wave function of the Universe in the presence of complex scalar field is described in some detail. The classical dynamics of the simple cosmological model with real scalar field is investigated from the viewpoint of such properties as chaos, fractality and possibility of construction of theory of perturbation around the kindred exactly solvable model.

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