A closed-form solution in a dynamical system related to Bianchi IX

DOI10.1016/j.physleta.2007.11.042zbMath1220.83012arXiv0712.0209OpenAlexW2065356445MaRDI QIDQ637278

Robert Conte

Publication date: 2 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0209

zbMATH Keywords

Bianchi IX in vacuumthird Painlevé equation

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Exact solutions to problems in general relativity and gravitational theory (83C15) Painlevé-type functions (33E17)

Related Items (2)

Compact invariant sets of the Bianchi VIII and Bianchi IX Hamiltonian systems ⋮ The general solution of Bianchi type VII\(_h\) vacuum cosmology

Cites Work

• Integrability of the Bianchi IX system
• The mixmaster universe model, revisited
• Empty space-times admitting a three parameter group of motions

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