Scalar-metric quantum cosmology with Chaplygin gas and perfect fluid

TL;DR

This paper develops a quantum cosmological model of a flat FRW universe with scalar fields, Chaplygin gas, and perfect fluid, solving the Wheeler-DeWitt equation to analyze the universe's quantum behavior.

Contribution

It introduces a canonical quantization of scalar-metric cosmology with Chaplygin gas and perfect fluid, using Schutz's formalism and boundary conditions to construct the universe's wave packet.

Findings

Probability density peaks are influenced by both fluids.

Wave packet construction shows the impact of matter content on quantum cosmology.

Quantization affects the universe's quantum state and its evolution.

Abstract

In this paper we consider the flat FRW cosmology with a scalar field coupled with the metric along with generalized Chaplygin gas and perfect fluid comprising the matter sector. We use the Schutz's formalism to deal with the generalized Chaplygin gas sector. The full theory is then quantized canonically using the Wheeler-DeWitt Hamiltonian formalism. We then solve the WD equation with appropriate boundary conditions. Then by defining a proper completeness relation for the self-adjointness of the WD equation we arrive at the wave packet for the universe. It is observed that the peak in the probability density gets affected due to both fluids in the matter sector, namely, the Chaplygin gas and perfect fluid.