The Kantowski-Sachs quantum model with stiff matter fluid

TL;DR

This paper develops a quantum cosmological model of the Kantowski-Sachs universe with a stiff matter fluid, solving the Wheeler-DeWitt equation to explore quantum effects in early universe scenarios.

Contribution

It introduces a quantum Kantowski-Sachs model with stiff matter using Schutz's formalism, providing a novel approach to include matter dynamics in quantum cosmology.

Findings

Wave function solutions to the Wheeler-DeWitt equation obtained.

Analysis of the model's viability and physical implications.

Inclusion of stiff matter fluid dynamics in quantum cosmology.

Abstract

In this paper we study the quantum cosmological Kantowski-Sachs model and solve the Wheeler-DeWitt equation in minisuperspace to obtain the wave function of the corresponding universe. The perfect fluid is described by the Schutz's canonical formalism, which allows to attribute dynamical degrees of freedom to matter. The time is introduced phenomenologically using the fluid's degrees of freedom. In particular, we adopt a stiff matter fluid. The viability of this model is analyzed and discussed.