Classical solutions from quantum regime for barotropic FRW model

TL;DR

This paper quantizes gravity coupled with a barotropic perfect fluid in the FRW model, deriving wave functions for various curvature parameters and discussing the classical solutions in the semiclassical limit.

Contribution

It provides a quantum cosmological analysis of the FRW model with matter and cosmological constant, deriving explicit wave functions for different curvature cases.

Findings

Wave functions are obtained for all curvature parameters in the FRW model.

Classical solutions are discussed within the WKB semiclassical approximation.

The approach links quantum wave functions to classical cosmological solutions.

Abstract

The quantization of gravity coupled to barotropic perfect fluid as matter field and cosmological constant is made and the wave function can be determined for any $\kappa$ in the FRW minisuperspace model. The meaning of the existence of the classical solution is discussed in the WKB semiclassical approximation