On the non-integrability of a class of hamiltonian cosmological models
AUTOR(ES)
Coelho, L. A. A., Skea, J. E. F., Stuchi, T. J.
FONTE
Brazilian Journal of Physics
DATA DE PUBLICAÇÃO
2005-12
RESUMO
The method of Morales and Ramis determines whether a given Hamiltonian system is non-integrable. We apply this method to Friedmann Robertson Walker models with a self-interacting scalar field and cosmological constant. It is shown that, with the exception of a set of measure zero, these models are non-integrable. Our results complement those of Helmi and Vucetich who used the Painlevé property to find integrable models within this class.
