https://doi.org/10.1140/epjp/s13360-024-05600-6
Regular Article
Quantum cosmological models in the Einstein-aether theory with radiation fluid
1
Departamento de Modelagem Computacional, Instituto Politécnico, Universidade do Estado do Rio de Janeiro, CEP 28625-570, Nova Friburgo, RJ, Brazil
2
Departamento de Física, Centro de Ciências Exatas, Universidade Federal do Espírito Santo, CEP 29075-910, Vitoria, ES, 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 27537-000, Resende, RJ, Brazil
5
Departamento de Engenharia Mecânica e Energia, Instituto Politécnico, Universidade do Estado do Rio de Janeiro, CEP 28625-570, Nova Friburgo, RJ, Brazil
Received:
20
February
2024
Accepted:
29
August
2024
Published online:
9
September
2024
Friedmann–Lemaître–Robertson–Walker (FLRW) quantum cosmological models are built within the framework of the Einstein-aether theory to describe a universe filled with radiation fluid using Schutz variational formalism. Propagators are employed to determine the wave function of the universe that satisfies the Wheeler–DeWitt equation, adhering to boundary conditions ensuring the self-adjoint nature of the Hamiltonian operator. The behavior of the scale factor is then analyzed using the quantum-mechanical interpretation schemes of many-worlds and de Broglie–Bohm, revealing the absence of big bang-type singularities in the studied cases. Finally, observational parameters of the Einstein-aether theory are used in the analyses of the cosmological solutions thus obtained.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) 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.
