Hyperbolic Inflation in the Light of Planck 2015 data

Abstract

Rubano and Barrow have discussed the emergence of a dark energy, with late-time cosmic acceleration arising from a self-interacting homogeneous scalar field with a potential of hyperbolic power type. Here, we study the evolution of this scalar field potential back in the inflationary era. Using the hyperbolic power potential in the framework of inflation, we find that the main slow-roll parameters, like the scalar spectral index, the running of the spectral index and the tensor-to-scalar fluctuation ratio can be computed analytically. Finally, in order to test the viability of this hyperbolic scalar field model at the early stages of the Universe, we compare the predictions of that model against the latest observational data, namely Planck 2015.

arXiv comment5 pages, 2 figures, Phys. Rev. D., 91, 103517 (2015)

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• Dynamical system analysis in multiscalar-torsion cosmology
• Analytic solution and Noether symmetries for the hyperbolic inflationary model in the Jordan frame
• Composite Inflation in the light of 2015 Planck data
• New inflationary exact solution from Lie symmetries
• Non-minimal Higgs inflation in the context of warm scenario in the light of Planck data
• Canonical Structure and Hidden Symmetries in Scalar Field Cosmology