Quantization of Einstein-aether Scalar field Cosmology

TL;DR

This paper introduces the first quantization of Einstein-aether scalar field cosmology, analyzing a Lorentz-violating inflationary model with interacting aether and scalar fields, and solving the Wheeler-DeWitt equation.

Contribution

It provides the initial quantization framework for Einstein-aether scalar cosmology and derives solutions for specific functional relations within the model.

Findings

Quantization of Einstein-aether scalar cosmology achieved.

Explicit solutions to the Wheeler-DeWitt equation obtained.

Classical solutions derived for particular functional relations.

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.