Building analytical three-field cosmological models

Author(s)

Santos, J. R. L. ^[1] ; Moraes, P. H. R. S. ^[2] ; Ferreira, D. A. ^{[3, 1]} ; Vilar Neta, D. C. ^{[4, 1]}

Affiliation

^[1] Univ Fed Campina Grande, Unidade Acad Fis, BR-58109970 Campina Grande, PB - Brazil

^[2] ITA, BR-12228900 Sao Jose Dos Campos, SP - Brazil

^[3] Univ Fed Paraiba, Dept Fis, BR-58051970 Joao Pessoa, Paraiba - Brazil

^[4] Univ Estadual Paraiba, Dept Fis, BR-58429500 Campina Grande, PB - Brazil

• Document type: Journal article
• Source: EUROPEAN PHYSICAL JOURNAL C; v. 78, n. 2 FEB 26 2018.
• Web of Science Citations: 2

Abstract

A difficult task to deal with is the analytical treatment of models composed of three real scalar fields, as their equations of motion are in general coupled and hard to integrate. In order to overcome this problem we introduce a methodology to construct three-field models based on the so-called ``extension method{''}. The fundamental idea of the procedure is to combine three one-field systems in a non-trivial way, to construct an effective three scalar field model. An interesting scenario where the method can be implemented is with inflationary models, where the Einstein-Hilbert Lagrangian is coupled with the scalar field Lagrangian. We exemplify how a new model constructed from our method can lead to non-trivial behaviors for cosmological parameters. (AU)

• FAPESP's process: 15/08476-0 - Gravitational waves in f(R,T) theories: polarization states and astrophysical sources
• Grantee: Pedro Henrique Ribeiro da Silva Moraes
• Support type: Scholarships in Brazil - Post-Doctorate