Home > Articles > Published articles > Qualitative study of a model with Rastall gravity |
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 |
Postprint 23 p, 420.5 KB |