Route to Lambda in conformally coupled phantom cosmology

Understand

In this letter we investigate acceleration in the flat cosmological model with a conformally coupled phantom field and we show that acceleration is its generic feature.

• We reduce the dynamics of the model to a 3-dimensional dynamical system and analyze it on a invariant 2-dimensional submanifold.
• Then the concordance FRW model with the cosmological constant $\Lambda$ is a global attractor situated on a 2-dimensional invariant space.
• We also study the behaviour near this attractor, which can be approximated by the dynamics of the linearized part of the system.