Class of Exact Solutions for a Cosmological Model of Unified Gravitational and Quintessence Fields

Felipe A. Asenjo, Sergio A. Hojman

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

A new approach to tackle Einstein equations for an isotropic and homogeneous Friedmann–Robertson–Walker Universe in the presence of a quintessence scalar field is devised. It provides a way to get a simple exact solution to these equations. This solution determines the quintessence potential uniquely and it differs from solutions which have been used to study inflation previously. It relays on a unification of geometry and dark matter implemented through the definition of a functional relation between the scale factor of the Universe and the quintessence field. For a positive curvature Universe, this solution produces perpetual accelerated expansion rate of the Universe, while the Hubble parameter increases abruptly, attains a maximum value and decreases thereafter. The behavior of this cosmological solution is discussed and its main features are displayed. The formalism is extended to include matter and radiation.

Original languageEnglish
Pages (from-to)887-896
Number of pages10
JournalFoundations of Physics
Volume47
Issue number7
DOIs
StatePublished - 1 Jul 2017

Keywords

  • Exact solution
  • Quintessence
  • Unification of geometry and dark matter

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