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The Friedmann cosmological models revisited as an harmonic motion and new exact solutions

Rafael M. Rubio

Departamento de Matemáticas, Universidad de Córdoba, Campus de Rabanales, Córdoba 14071, Spain

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and

Juan J. Salamanca

Departamento de Matemáticas, Universidad de Córdoba, Campus de Rabanales, Córdoba 14071, Spain

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https://doi.org/10.1142/S0219887814500509Cited by:0 (Source: Crossref)

Abstract

A new approach for arbitrary dimension to the Friedmann cosmological models is presented. Taking suitable changes of the parameters of the spacetime the harmonic motion equations appear, where the curvature determines the angular frequency. Some physical interpretations are also explained. As a consequence of our approach, we give new exact solutions to the Einstein's equation when the observer is not comoving with the perfect fluid, as well as, when the pressure not vanishes, including a new procedure to acquire exact solutions for cases of universes at the dark energy-dominated stage.

Keywords:

AMSC: 83C15, 83F05

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