On the dynamics of the Szekeres system

The gravitational Szekeres differential system is completely integrable with two rational first integrals and an additional analytical first integral. We describe the dynamics of the Szekeres system when one of these two rational first integrals is negative, showing that all the orbits come from the...

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Detalhes bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Formato: artículo
Fecha de publicación:2019
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:307713
Acesso em linha:https://ddd.uab.cat/record/307713
https://dx.doi.org/urn:doi:10.1016/j.physleta.2018.10.050
Access Level:acceso abierto
Palavra-chave:Szekeres system
Phase portrait
Poincaré compactification
Descrição
Resumo:The gravitational Szekeres differential system is completely integrable with two rational first integrals and an additional analytical first integral. We describe the dynamics of the Szekeres system when one of these two rational first integrals is negative, showing that all the orbits come from the infinity of R4 and go to infinity.