Asymptotic behavior of $N$-fields Chiral Cosmology

Understand

We perform a detailed analysis for the asymptotic behaviour for the multi-scalar field Chiral cosmological scenario.

• We present the asymptotic behaviour for the one-field, two-fields and three-fields Chiral models.
• From these results, and deriving conserved quantities, we present a Theorem for the $N$-fields model for the Chiral model with $N$--fields.
• We find that the maximum number of scalar fields which provide interesting physical results is two-fields, while for $N>2$ the new stationary points are only of mathematical interest since they do not describe new exact solutions different from those recovered for $N=2$.