Quantization of the Szekeres spacetime through generalized symmetries

TL;DR

This paper investigates quantum corrections to the Szekeres spacetime, relevant for early universe inhomogeneities, using canonical quantization and Bohmian mechanics to analyze effective classical dynamics.

Contribution

It introduces a method to incorporate quantum effects into Szekeres spacetime via generalized symmetries and effective Lagrangian construction.

Findings

Quantum corrections modify classical Szekeres solutions.

Bohmian mechanics provides a consistent interpretational framework.

Effective classical equations reveal quantum influence on inhomogeneities.

Abstract

We present the effect of the quantum corrections on the Szekeres spacetime, a system important for the study of the inhomogeneities of the pre-inflationary era of the universe. The study is performed in the context of canonical quantisation in the presence of symmetries. We construct an effective classical Lagrangian and impose the quantum version of its classical integrals of motion on the wave function. The interpretational scheme of the quantum solution is that of Bohmian mechanics, in which one can avoid the unitarity problem of quantum cosmology. We discuss our results in this context.