Global dynamics of cosmological scalar fields -- Part I

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dc.creatorMaciejewski, Andrzej J.
dc.creatorPrzybylska, Maria
dc.creatorStachowiak, Tomasz
dc.creatorSzydlowski, Marek
dc.date2006-12-13
dc.date2006-12-15
dc.date.accessioned2026-07-07T07:35:16Z
dc.date.available2026-07-07T07:35:16Z
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 are non-integrable, although there still exist some values of parameters for which integrability remains undecided. We also draw a connection with chaos present in such cosmological models. The first part of the article deals with minimally coupled fields, and the second treats the conformal couping.
dc.description14 pages, added acknowledgements
dc.identifierhttps://arxiv.org/abs/gr-qc/0612087
dc.identifierhttp://arxiv.org/abs/gr-qc/0612087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120040
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleGlobal dynamics of cosmological scalar fields -- Part I
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