An introduction to the time evolution of model universes

In this paper we describe the evolution of the Universe in terms of the Friedmann equation, which takes into account of the composition and geometry of the Universe. The dependence of the solution on the geometry and composition for different combinations of the basic constituents are discussed. The distinct behaviours for the temporal evolution of the Universe are determined and the scenario predicted by the Standard Cosmology is presented.

Keywords:
General Relativity; Cosmology; Universe; Expansion

Authorship

Vinicius S. Aderaldo

Universidade Federal de Pelotas, Instituto de Física e Matemática, Pelotas, RS, Brasil.Universidade Federal de PelotasBrasilPelotas, RS, BrasilUniversidade Federal de Pelotas, Instituto de Física e Matemática, Pelotas, RS, Brasil.

Victor P. Gonçalves ^**Endereço de correspondência: barros@ufpel.edu.br

https://orcid.org/0000-0003-4943-9973

^*Endereço de correspondência: barros@ufpel.edu.br

SCIMAGO INSTITUTIONS RANKINGS

Figures | Tables | Formulas

Figures (8)
Tables (1)
Formulas (78)

Parâmetro de Densidade	Termo de Curvatura	Comportamento para $t ≫ H_{0}^{- 1}$
$Ω_{0} < 1$	$k = - 1$	Big Chill ( $a \propto t$ )
$Ω_{0} = 1$	$k = 0$	Big Chill ( $a \propto t^{2 / 3}$ )
$Ω_{0} > 1$	$k = + 1$	Big Crunch