Simple inflationary quintessential model. II. Power law potentials

Jaume de Haro, Jaume Amorós, and Supriya Pan
Phys. Rev. D 94, 064060 – Published 21 September 2016

Abstract

The present work is a sequel of our previous work [Phys. Rev. D 93, 084018 (2016)] which depicted a simple version of an inflationary quintessential model whose inflationary stage was described by a Higgs-type potential and the quintessential phase was responsible due to an exponential potential. Additionally, the model predicted a nonsingular universe in past which was geodesically past incomplete. Further, it was also found that the model is in agreement with the Planck 2013 data when running is allowed. But, this model provides a theoretical value of the running which is far smaller than the central value of the best fit in ns, r, αsdns/dlnk parameter space where ns, r, αs respectively denote the spectral index, tensor-to-scalar ratio and the running of the spectral index associated with any inflationary model, and consequently to analyze the viability of the model one has to focus in the two-dimensional marginalized confidence level in the allowed domain of the plane (ns,r) without taking into account the running. Unfortunately, such analysis shows that this model does not pass this test. However, in this sequel we propose a family of models runs by a single parameter α[0,1] which proposes another “inflationary quintessential model” where the inflation and the quintessence regimes are respectively described by a power law potential and a cosmological constant. The model is also nonsingular although geodesically past incomplete as in the cited model. Moreover, the present one is found to be more simple compared to the previous model and it is in excellent agreement with the observational data. In fact, we note that, unlike the previous model, a large number of the models of this family with α[0,12) match with both Planck 2013 and Planck 2015 data without allowing the running. Thus, the properties in the current family of models compared to its past companion justify its need for a better cosmological model with the successive improvement of the observational data.

  • Figure
  • Received 25 July 2016

DOI:https://doi.org/10.1103/PhysRevD.94.064060

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Jaume de Haro1,*, Jaume Amorós1,†, and Supriya Pan2,‡

  • 1Departament de Matemàtiques, Universitat Politècnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain
  • 2Department of Physical Sciences, Indian Institute of Science Education and Research, Kolkata, Mohanpur, 741246 West Bengal, India

  • *jaime.haro@upc.edu
  • jaume.amoros@upc.edu
  • span@iiserkol.ac.in

See Also

Simple inflationary quintessential model

Jaume de Haro, Jaume Amorós, and Supriya Pan
Phys. Rev. D 93, 084018 (2016)

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Vol. 94, Iss. 6 — 15 September 2016

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