A Jacobian elliptic single-field inflation

TL;DR

This paper introduces a new class of analytical solutions for single-field inflation models using Jacobian elliptic functions, generalizing previous solutions and comparing them with Planck 2015 data.

Contribution

It develops a novel analytical framework for single-field inflation using Jacobian elliptic functions, extending known solutions to a broader family.

Findings

Analytical solutions generalize previous models.

Comparison with Planck 2015 data shows consistency.

Provides a new mathematical approach to inflation modeling.

Abstract

In the scenario of single-field inflation, this field is done 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 analysed using the Hamilton-Jacobi approach and then, the main results are contrasted with the recent measurements obtained from the Planck 2015 data.