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arXiv · 2008.00746

Quantization of Einstein-aether Scalar field Cosmology

N. Dimakis·T. Pailas·A. Paliathanasis·G. Leon·Petros A. Terzis·T. Christodoulakis
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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.

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N. Dimakis, T. Pailas, A. Paliathanasis, G. Leon, Petros A. Terzis, T. Christodoulakis. 2020-08-03. Quantization of Einstein-aether Scalar field Cosmology. https://doi.org/10.1140/epjc/s10052-021-08933-z

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