Global integrability of cosmological scalar fields

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dc.creatorMaciejewski, Andrzej J.
dc.creatorPrzybylska, Maria
dc.creatorStachowiak, Tomasz
dc.creatorSzydlowski, Marek
dc.date2008-03-15
dc.date2008-08-19
dc.date.accessioned2026-07-07T11:49:08Z
dc.date.available2026-07-07T11:49:08Z
dc.descriptionWe investigate the Liouvillian integrability of Hamiltonian systems describing a universe filled with a scalar field (possibly complex). The tool used is the differential Galois group approach, as introduced by Morales-Ruiz and Ramis. The main result is that the generic systems with minimal coupling are non-integrable, although there still exist some values of parameters for which integrability remains undecided; the conformally coupled systems are only integrable in four known cases. We also draw a connection with chaos present in such cosmological models, and the issues of integrability restricted to the real domain.
dc.descriptionThis is a conflated version of arXiv:gr-qc/0612087 and arXiv:gr-qc/0703031 with a new theory section
dc.identifierhttps://arxiv.org/abs/0803.2318
dc.identifierhttp://arxiv.org/abs/0803.2318
dc.identifierJ.Phys.A41:465101,2008
dc.identifierdoi:10.1088/1751-8113/41/46/465101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203129
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectExactly Solvable and Integrable Systems
dc.subject37J30, 70H06, 70H07
dc.titleGlobal integrability of cosmological scalar fields
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