A Jacobian elliptic single-field inflation

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.

7 pages, 5 figures

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Cited by in corpus (7)

• The generalized Chaplygin-Jacobi gas
• Roles of Modified Chaplygin-Jacobi and Chaplygin-Abel Gases in FRW Universe
• Hamilton-Jacobi approach for quasi-exponential inflation: predictions and constraints after Planck 2015 results
• Thermodynamics of Modified Chaplygin-Jacobi Gas and Modified Chaplygin-Abel Gas: Stability Analysis and Observational Constraints
• No slow-roll inflation à la Generalized Chaplygin Gas in General Relativity
• Frame-Dependence of the Hamilton-Jacobi Formalism for Inflation and Reheating in Non-Minimal Gravity
• A Jacobian generalization of the pseudo Nambu-Goldstone bosons potential