Early universe models in the f(R) theory

Statistics – Computation

Scientific paper

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Astronomical Models, Cosmology, Galactic Evolution, Perturbation Theory, Universe, Computational Astrophysics, Interstellar Extinction

Scientific paper

A study is made of the cosmology of the early universe with vacuum polarization of the conformal and nonconformal fields. The consideration of the latter opens new possibilities for the background metric evolution and, in particular, predicts several quasi-de Sitter stages. The probability of the origin of the universe at each stage is estimated by the instanton method. The quasi-de Sitter mode of evolution makes it possible to describe all known models with vacuum polarization in terms of an effective Lagrangian. For the theory proposed here, the quantization of scalar perturbations and an analysis of their growth during the subsequent evolution are carried out. The results of the study can be applied to R-squared cosmology and Starobinskii's model as well as to theories with nonconformal fields.

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