Global dynamics for the Szekeres system with non-zero cosmological constant
The Szekeres system with cosmological constant term describes the evolution of the kinematic quantities for the Einstein field equations in dimension four. It is a Hamiltonian system (with Hamiltonian H). We restrict the dynamics on each one of the level surfaces H=h with h∈R and using the Poincaré...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:257091 |
| Acceso en línea: | https://ddd.uab.cat/record/257091 https://dx.doi.org/urn:doi:10.1016/j.dark.2022.100954 |
| Access Level: | acceso abierto |
| Palabra clave: | Szekeres system Positive cosmological constant Global dynamics Poincaré sphere |
| Sumario: | The Szekeres system with cosmological constant term describes the evolution of the kinematic quantities for the Einstein field equations in dimension four. It is a Hamiltonian system (with Hamiltonian H). We restrict the dynamics on each one of the level surfaces H=h with h∈R and using the Poincaré compactification on R we analyze the global dynamics of the Szekeres system. It was known that the Szekeres system with cosmological constant term exhibits an attractor in the finite regime. Here we provide a new proof of the finite attractor and additionally we prove that also exhibits a repulsor in the finite regime, and that at infinity there is an attractor and a repulsor. |
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