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General analytic solutions of scalar field cosmology with arbitrary potential

N. Dimakis1,*, A. Karagiorgos2,†, Adamantia Zampeli2,‡, Andronikos Paliathanasis1,§, T. Christodoulakis2,∥, and Petros A. Terzis2,¶

  • 1Instituto de Ciencias Fisicas y Matematicas, Universidad Austral de Chile, Casilla 567, Valdivia, Chile
  • 2Nuclear and Particle Physics Section, Physics Department, University of Athens, GR 15771 Athens, Greece

  • *nsdimakis@gmail.com
  • †alexkarag@phys.uoa.gr
  • ‡azampeli@phys.uoa.gr
  • §anpaliat@phys.uoa.gr
  • ∥tchris@phys.uoa.gr
  • pterzis@phys.uoa.gr
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Phys. Rev. D 93, 123518 – Published 15 June, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.123518

Abstract

We present the solution space for the case of a minimally coupled scalar field with arbitrary potential in a Friedmann-Lemaître-Robertson-Walker metric. This is made possible due to the existence of a nonlocal integral of motion corresponding to the conformal Killing field of the two-dimensional minisuperspace metric. Both the spatially flat and nonflat cases are studied first in the presence of only the scalar field and subsequently with the addition of noninteracting perfect fluids. It is verified that this addition does not change the general form of the solution, but only the particular expressions of the scalar field and the potential. The results are applied in the case of parametric dark energy models where we derive the scalar field equivalence solution for some proposed models in the literature.

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Phys. Rev. D 93, 123518– Published 15 June, 2016
  • Received 18 April 2016

© 2016 American Physical Society

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