Dynamics of the Szekeres system
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)

Date:	2021
Abstract:	The Szekeres model is a differential system in R4 that provides the solutions of the Einstein field equations in the presence of irrotational dust. This differential system is integrable with two rational first integrals and one analytic first integral. We characterize the qualitative behavior of all the orbits of the Szekeres system in the function of the values of the two rational first integrals.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Szekeres system ; Phase portrait ; Poincaré compactification
Published in:	Journal of Mathematical Physics, Vol. 62, Issue 8 (August 2021) , art. 82502, ISSN 1089-7658

DOI: 10.1063/5.0054051

Postprint 10 p, 681.8 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles