Global dynamics of cosmological scalar fields -- Part I

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We 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.
14 pages, added acknowledgements

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General Relativity and Quantum Cosmology, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/120040

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0612087
 http://arxiv.org/abs/gr-qc/0612087

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arXiv