Qualitative study of a model with Rastall gravity
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtiques)

Date:	2020
Abstract:	We consider the Rastall theory for the flat Friedmann-Robertson-Walker universe filled with a perfect fluid that satisfies a linear equation of state. The corresponding dynamical system is a two dimensional system of polynomial differential equations depending on four parameters. We show that this differential system is always Darboux integrable. In order to study the global dynamics of this family of differential systems we classify all their non-topological equivalent phase portraits in the Poincar'e disc and we obtain 16 different dynamical situations for our spacetime.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911 Ministerio de Ciencia e Innovación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1049 Ministerio de Economía y Competitividad PGC2018-098676-B-I00
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Published in:	Classical and Quantum Gravity, Vol. 37, Issue 24 (December 2020) , art. 245010, ISSN 1361-6382

DOI: 10.1088/1361-6382/abc188

Postprint 23 p, 420.5 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles