https://doi.org/10.1140/epjp/s13360-022-03324-z
Regular Article
Early universe with dust and Chaplygin gas
1
Departamento de Física, Centro de Ciências Exatas, Universidade Federal do Espírito Santo, CEP 29075-910, Vitória, ES, Brazil
2
Departamento de Modelagem Computacional Instituto Politécnico, Universidade do Estado do Rio de Janeiro, CEP 28.625-570, Nova Friburgo, RJ, Brazil
3
Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Juiz de Fora, CEP 36036-330, Juiz de Fora, Minas Gerais, Brazil
4
Departamento de Matemática, Física e Computação, Faculdade de Tecnologia, Universidade do Estado do Rio de Janeiro, CEP 27523-000, Resende, RJ, Brazil
Received:
6
September
2022
Accepted:
24
September
2022
Published online:
2
October
2022
In this work, we analyze the quantum dynamics contained in the Planck era, its emergence mechanism for the inflationary phase and its classical dynamics in an isotropic and homogeneous model composed of a perfect fluid in the form of dust and Chaplygin gas. The model is numerically quantized by the Crank–Nicolson method, and quantum tunneling probabilities are calculated in terms of the model parameters. When we compared the results with those corresponding to the solutions obtained from a model with radiation and Chaplygin gas, we observed that a higher probability of tunneling is observed in models with dust than in models with radiation. The results have shown that universes with Chaplygin gas and dust are more likely to arise than universes with Chaplygin gas and radiation.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
