Hyperbolic inflation in the light of Planck 2015 data

Spyros Basilakos and John D. Barrow
Phys. Rev. D 91, 103517 – Published 18 May 2015

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 with the latest observational data, namely Planck 2015.

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  • Received 10 April 2015

DOI:https://doi.org/10.1103/PhysRevD.91.103517

© 2015 American Physical Society

Authors & Affiliations

Spyros Basilakos1 and John D. Barrow2

  • 1Academy of Athens, Research Center for Astronomy and Applied Mathematics, Soranou Efessiou 4, 115 27 Athens, Greece
  • 2DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

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Issue

Vol. 91, Iss. 10 — 15 May 2015

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