Qualitative dynamical properties of a phantom field with an arbitrary potential
Résumé
We study the qualitative dynamical behaviour of a phantom field minimally coupled to gravity, with an arbitrary self-interacting potential. We show that the dynamics of this system is surprisingly simple, independently of the form of the potential. Periodic or oscillatory behaviour of the scale factor or periodic behaviour of the scalar field is not possible. We characterize all the possible asymptotic behaviours of the dynamical variables.