New Anisotropic Exact Solution in Multifield Cosmology

Abstract: In the case of two-scalar field cosmology and, specifically for the Chiral model, we determine an exact solution for the field equations with a anisotropic background space. The exact solution can describe anisotropic inflation with a Kantowski-Sachs geometry and it can be seen as the anisotropic analogue of the hyperbolic inflation. Finally, we investigate the evolution for the homogeneous perturbations around the new asymptotic solution.