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arXiv · 2105.09514

Eisenhart--Duval lift for minisuperspace quantum cosmology

Nahomi Kan·Takuma Aoyama·Taiga Hasegawa·Kiyoshi Shiraishi
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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.

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Nahomi Kan, Takuma Aoyama, Taiga Hasegawa, Kiyoshi Shiraishi. 2021-05-20. Eisenhart--Duval lift for minisuperspace quantum cosmology. https://doi.org/10.1103/physrevd.104.086001

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