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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...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2014
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2014.03.038