Asymptotic Properties of a Supposedly Regular (Dirac-Born-Infeld) Modification of General Relativity

Understand

We apply the dynamical systems tools to study the asymptotic properties of a cosmological model based on a non-linear modification of General Relativity in which the standard Einstein-Hilbert action is replaced by one of Dirac-Born-Infeld type.

• It is shown that the dynamics of this model is extremely rich: there are found equilibrium points in the phase space that can be associated with matter-dominated, matter-curvature scaling, de Sitter, and even phantom-like solutions.
• Depending on the value of the overall parameters the dynamics in phase space can show multi-attractor structure into the future (multiple future attractors may co-exist).
• This is a consequence of bifurcations in control parameter space, showing strong dependence of the model's dynamical properties on the free parameters.