Dynamics of the Szekeres system
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 al...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:259912 |
| Acceso en línea: | https://ddd.uab.cat/record/259912 https://dx.doi.org/urn:doi:10.1063/5.0054051 |
| Access Level: | acceso abierto |
| Palabra clave: | Szekeres system Phase portrait Poincaré compactification |
| Sumario: | 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. |
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