Work

Variational symmetries and superintegrability in multifield cosmology

Year: 2022

Type: article

Abstract: We consider a spatially flat Friedmann-Lema\^{\i}tre-Robertson-Walker background space with an ideal gas and a multifield Lagrangian consisting of two minimally coupled scalar fields which evolve in a field space of constant curvature. For this cosmological model we classify the potential function for the scalar fields such that variational point symmetries exist. The corresponding conservation laws are calculated. Finally, analytic solutions are presented for specific functional forms of the scalar field potential in which the cosmological field equations are characterized as a Liouville integrable system by point symmetries. The free parameters of the cosmological model are constrained in order to describe analytic solutions for an inflationary epoch. Finally, stability properties of exact closed-form solutions are investigated. These solutions are scaling solutions with important physical properties for the cosmological model.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.105.044010

Authors: Alex Giacomini, Esteban González, Genly Leon, Andronikos Paliathanasis

Institutions: Austral University of Chile, Universidad de Aconcagua, Universidad Católica del Norte, Durban University of Technology

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Universidad Católica del Norte, Agencia Nacional de Investigación y Desarrollo, Fondo Nacional de Desarrollo Científico y Tecnológico

Awards: G7248537534, G7619807018