Global integrability of cosmological scalar fields

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چکیده

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Global integrability of cosmological scalar fields

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 with minimal coupling are non-integrable, although there still exist some values of parameters for which integrability...

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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: Journal of Physics A: Mathematical and Theoretical

سال: 2008

ISSN: 1751-8113,1751-8121

DOI: 10.1088/1751-8113/41/46/465101