Constructing Viable Interacting Dark Matter and Dark Energy Models: A Dynamical Systems Approach

Understand

We study the evolution of $k=-1$ FLRW cosmological models for two interacting Dark Matter-Dark Energy Models using dynamical system analysis.

• Since we are interested in late time evolution, the sign of the interaction term is chosen such that it facilitates the transfer of energy from dark matter to dark energy.
• We also explore the $k=0$ invariant subspace of these models.
• We find that both these models have sectors which have a stable fixed point where we can recover an accelerating universe with a negative equation of state.