## 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 language | English |
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Pages (from-to) | 887-896 |

Number of pages | 10 |

Journal | Foundations of Physics |

Volume | 47 |

Issue number | 7 |

DOIs | |

State | Published - 1 Jul 2017 |

## Keywords

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