Year: 2019
Type: article
Abstract: We consider chiral cosmological models (CCMs) and modified gravity theories associated with them. Generalization of the superpotential method for a general CCM with several scalar fields is performed, and the method of construction CCMs admitting exact solutions is developed. New classes of exact solutions in the two-component CCM connected with an $f(R)$ gravity model with an additional scalar field have been constructed. We construct new cosmological solutions for a diagonal metric of the target space, including modified power-law solutions. In particular, we propose the reconstruction procedure based on the superpotential method and present examples of kinetic part reconstruction for periodic and hyperbolic Hubble parameters. We also focus on a cyclic type of Universe dubbed the quasi-steady-state (QSS) model, with the aim of constructing single- and double-field potentials for one and the same behavior of the Hubble parameter using the developed superpotential method for the CCM. The realization of this task includes a new set of solutions for a CCM with a scale factor characterized by the QSS theory. We also propose a method for reducing the two-field CCM to the single scalar field model.
Institutions: Ulyanovsk State Pedagogical University, Bauman Moscow State Technical University, Kazan Federal University, Ulyanovsk State Pedagogical University Named After I. Ulyanov, Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Maulana Azad National Urdu University, Zhejiang University of Technology, Jamia Millia Islamia
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Award: G5363872136
OpenAlex ID: W2942129740