Dynamical systems methods and statefinder diagnostic of interacting vacuum energy models

Understand

We study three interacting dark energy models within the framework of four-dimensional General Relativity and a spatially flat Universe.

• In particular, we first consider two vacuum models where dark energy interacts with dark matter, while relativistic matter as well as baryons are treated as non-interacting fluid components.
• Secondly, we investigate a third model where the gravitational coupling is assumed to be a slowly-varying function of the Hubble rate and dark energy and dark matter interact as well.
• We compute the statefinders parameters versus red-shift as well as the critical points and their nature applying dynamical systems methods.