Closed Form Solutions For The Quantum LRS Bianchi IX and VIII Wheeler DeWitt Equations For An Arbitrary Hartle-Hawking Ordering Parameter
General Relativity and Quantum Cosmology
2020-02-17 v2
Abstract
In this paper we present the quantum LRS Bianchi IX models or, as they may be better known, the Taub-NUT models in addition to the quantum LRS Bianchi VIII models, both coupled to a stiff matter source. We solve their Wheeler DeWitt equations for an arbitrary Hartle-Hawking ordering parameter using separation of variables. Afterwards we construct a superposition of their respective wave functions and discuss some of the interesting qualitative properties they possess.
Keywords
Cite
@article{arxiv.2001.10644,
title = {Closed Form Solutions For The Quantum LRS Bianchi IX and VIII Wheeler DeWitt Equations For An Arbitrary Hartle-Hawking Ordering Parameter},
author = {Daniel Berkowitz},
journal= {arXiv preprint arXiv:2001.10644},
year = {2020}
}
Comments
10 pages, 12 figures. The references were updated