This paper is available on arxiv under CC 4.0 license. Authors: Vitor da Fonseca, Instituto de Astrof´ısica e Ciˆencias do Espa¸co, Faculdade de Ciˆencias da Universidade de Lisboa; Tiago Barreiro, Instituto de Astrof´ısica e Ciˆencias do Espa¸co, Faculdade de Ciˆencias da Universidade de Lisboa and 2ECEO, Universidade Lus´ofona; Nelson J. Nunes, Instituto de Astrof´ısica e Ciˆencias do Espa¸co, Faculdade de Ciˆencias da Universidade de Lisboa.
Let us consider a flat universe with vanishing curvature, spatially homogeneous and isotropic, whose expansion is parameterized by the scale factor a associated with the Friedmann-Lemaˆıtre-Roberson-Walker spacetime metric.
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