Eisenhart--Duval lift for minisuperspace quantum cosmology
General Relativity and Quantum Cosmology
2021-10-06 v5
Abstract
We study covariant equations in quantum cosmology of an extended minisuperspace obtained by the Eisenhart--Duval lift. We find that a Dirac-type equation is naturally introduced in the extended minisuperspace. Explicit forms of the fundamental solutions are yielded for specific models. The possible further development in this direction is also discussed.
Keywords
Cite
@article{arxiv.2105.09514,
title = {Eisenhart--Duval lift for minisuperspace quantum cosmology},
author = {Nahomi Kan and Takuma Aoyama and Taiga Hasegawa and Kiyoshi Shiraishi},
journal= {arXiv preprint arXiv:2105.09514},
year = {2021}
}
Comments
19 pages, no figure. Final version