2010

Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation

Leon, Genly, Silveira, Pavel, Fadragas, Carlos R.

Understand

We investigate the phase-space of a flat FRW universe including both a scalar field, $\phi,$ coupled to matter, and radiation.

The model is inspired in scalar-tensor theories of gravity, and thus, related with $F(R)$ theories through conformal transformation.
The aim of the chapter is to extent several results to the more realistic situation when radiation is included in the cosmic budget particularly for studying the early time dynamics.
Under mild conditions on the potential we prove that the equilibrium points corresponding to the non-negative local minima for $V(\phi)$ are asymptotically stable.

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