Quantization of Einstein-aether Scalar field Cosmology
arXiv:2008.00746 · doi:10.1140/epjc/s10052-021-08933-z
Abstract
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.
arXiv comment10 pages, no figures, Latex2e source file, version accepted in EPJC
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