Wavefunctions for Highly Anisotropic Homogeneous Cosmologies

TL;DR

This paper explores the canonical quantization of highly anisotropic homogeneous cosmologies, deriving exact wavefunctions and identifying Lorentzian tunnelling solutions, advancing understanding of quantum cosmological models.

Contribution

It presents new exact wavefunctions in the high anisotropic limit and introduces solutions to the modified Wheeler-DeWitt equation for the Bianchi IX model.

Findings

Exact wavefunctions in high anisotropic limit

Lorentzian tunnelling solutions identified

Solutions to modified Wheeler-DeWitt equation for Bianchi IX

Abstract

The canonical quantization of homogeneous cosmologies is considered in the high anisotropic limit. Exact wavefunctions are found in this limit when the momentum constraints are reduced at the classical level. Lorentzian solutions that represent tunnelling from classically forbidden regimes are identified. Solutions to the modified Wheeler-DeWitt equation are also found for the vacuum Bianchi IX model when a quantum reduction of the momentum constraints is considered.