Cosmological Inflation Based on the Generalized Scalar Field Potential

Abstract

The article considers a cosmological inflation model with the generalized scalar field potential based on exact solutions obtained from the cosmological dynamics equations. The proposed generalized potential implies a possibility to implement various inflation mechanisms within a single cosmological model. Using the proposed method, a form of the efficient generalized scalar field potential is obtained. It includes description of various physical effects: spontaneous electroweak symmetry breaking, tachyonic condensation, spontaneous supersymmetry breaking, etc. Selection of the model parameters influences implementation of a specific physical mechanism during the inflation. The article shows that the proposed cosmological models correspond to the modern observational constraints on values of the cosmological perturbation parameters. Within the framework of the Einstein gravity, unification of various physical effects based on the single generalized effective potential becomes possible only for the Super-Planck scalar fields. However, introduction of the Einstein --- Gauss --- Bonnet gravity makes it possible to construct the considered model for the Sub-Planck scalar fields. For the inflation models considered, expected contribution of the relic gravitational waves to the relic irradiation polarization and anisotropy is significantly lower than the current observational constraints

Please cite this article in English as:

Fomin I.V., Glushkov V.L., Dentsel E.S., et al. Cosmological inflation based on the generalized scalar field potential. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2025, no. 6 (123), pp. 76--100 (in Russ.). EDN: YOUOEY

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