https://doi.org/10.1140/epjp/s13360-022-03339-6
Regular Article
Quantum cosmological perfect fluid models in Einstein aether theory
1
Departamento de Modelagem Computacional, Instituto Politécnico, Universidade do Estado do Rio de Janeiro, CEP 28625-570, Nova Friburgo, Rio de Janeiro, Brazil
2
Departamento de Engenharia Mecânica e Energia, Instituto Politécnico, Universidade do Estado do Rio de Janeiro, CEP 28625-570, Nova Friburgo, Rio de Janeiro, Brazil
3
Departamento de Física, Centro de Ciências Exatas, Universidade Federal do Espírito Santo, CEP 29075-910, Vitória, ES, Brazil
4
Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Juiz de Fora, CEP 36036-330, Juiz de Fora, Minas Gerais, Brazil
5
Departamento de Matemática Física e Computação, Faculdade de Tecnologia, Universidade do Estado do Rio de Janeiro, Rodovia Presidente Dutra Km 298, Pólo Industrial, CEP 27537-000, Resende, RJ, Brazil
Received:
11
August
2022
Accepted:
28
September
2022
Published online:
10
October
2022
The possibility of constructing a consistent quantum theory of gravitation has motivated the recent interest in gravitational theories that break Lorentz invariance, as it is the case of Einstein aether theory. In this work, we employ Schutz variational formalism to obtain a quantum cosmological Einstein aether model for a spatially flat Universe filled with a barotropic fluid with equation of state 
. Solutions to the Wheeler–DeWitt equation are obtained by the superposition of stationary quantum states, yielding finite-norm wave packets. The behavior of the scale factor is studied from the point of view of the many-worlds and of the de Broglie–Bohm interpretations of quantum mechanics, indicating non-singular solutions for 
.
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