Abstract

Phantom energy can be visualized as a scalar field with a (non-canonical) negativekinetic energy term. We use the dynamical system formalism to study theattractor behaviour of a cosmological model containing a phantom scalar fieldϕ endowed with an exponential potential of the formV (ϕ) = V0exp(−λκϕ), and a perfect fluid with constant equation of stateγ; the latter can be of the phantom type too. As in the canonical case, threecharacteristic solutions can be identified. The scaling solution exists but is eitherunstable or of no physical interest. Thus, there are only two stable critical pointswhich are of physical interest, corresponding to the perfect fluid and scalarfield dominated solutions, respectively. The most interesting case arises for0>γ>−λ2/3, which allows the coexistence of the three solutions. The main features of each solution arediscussed in turn.

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