Eisenhart--Duval lift for minisuperspace quantum cosmology

Published 20 May 2021 in gr-qc | (2105.09514v5)

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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