Regular Article – Theoretical Physics
Quantization of Einstein-aether scalar field cosmology
Center for Theoretical Physics, College of Physics, Sichuan University, 610064, Chengdu, China
2 Nuclear and Particle Physics Section, Physics Department, University of Athens, 15771, Athens, Greece
3 Institute of Systems Science, Durban University of Technology, 4000, Durban, South Africa
4 Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla, 1280, Antofagasta, Chile
Accepted: 30 January 2021
Published online: 15 February 2021
We present, for the first time, the quantization process for the Einstein-aether scalar field cosmology. We consider a cosmological theory proposed as a Lorentz violating inflationary model, where the aether and scalar fields interact through the assumption that the aether action constants are ultra-local functions of the scalar field. For this specific theory there is a valid minisuperspace description which we use to quantize. For a particular relation between the two free functions entering the reduced Lagrangian the solution to the Wheeler–DeWitt equation as also the generic classical solution are presented for any given arbitrary potential function.
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