The generalized Chaplygin-Jacobi gas

TL;DR

This paper introduces a new elliptic generalization of the generalized Chaplygin gas model, deriving exact inflationary quantities and constraining parameters using Planck 2015 data.

Contribution

It presents a novel elliptic extension of the generalized Chaplygin gas and derives exact inflationary parameters with observational constraints.

Findings

Derived exact inflationary quantities for the elliptic generalized Chaplygin gas.

Provided observational constraints on model parameters using Planck 2015 data.

Introduced a new mathematical generalization using elliptic identities.

Abstract

The present paper is devoted to find a new generalization of the generalized Chaplygin gas. Therefore, starting from the Hubble parameter associated to the Chaplygin scalar field and using some elliptic identities, the elliptic generalization is straightforward. Thus, all relevant quantities that drive inflation are calculated exactly. Finally, using the measurement on inflation from the Planck 2015 results, observational constraints on the parameters are given.