Eur. Phys. J. C (2015) 75: 256
https://doi.org/10.1140/epjc/s10052-015-3464-z

Regular Article - Theoretical Physics

A Jacobian elliptic single-field inflation

¹ Instituto de Física y Astronomía, Universidad de Valparaíso, Gran Bretaña 1111, Valparaiso, Chile
² Centro de Astrofísica de Valparaíso, Gran Bretaña 1111, Playa Ancha, Valparaiso, Chile
³ FaMAF, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000, Córdoba, Argentina
⁴ Instituto de Física Enrique Gaviola (IFEG), CONICET, Ciudad Universitaria, 5000, Córdoba, Argentina

^* e-mail: jose.villanuevalob@uv.cl

Received: 30 March 2015
Accepted: 18 May 2015
Published online: 10 June 2015

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.