A Jacobian elliptic single-field inflation

Abstract

In the scenario of single-field inflation, this field is described in terms of Jacobian elliptic functions. This approach provides, when constrained to particular cases, analytic solutions already known in the past, generalizing them to a bigger family of analytical solutions. The emergent cosmology is analyzed using the Hamilton–Jacobi approach and then the main results are contrasted with the recent measurements obtained from the Planck 2015 data.