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Functional Change of Variables in the Wheeler--De Witt Equation

Marco Cavaglià
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Abstract

I present a new way to solve the Wheeler--de Witt equation using the invariance of the classical lagrangian under reparametrization. This property allows one to introduce an arbitrary function for each degree of freedom of the wave function $Ψ$: this arbitrariness can be used to fix the asymptotic behaviour of $Ψ$ so as to obtain a wave function representing a closed universe or a wormhole. These considerations are applied in detail to the Kantowsky--Sachs spacetime.

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Marco Cavaglià. 1993-04-30. Functional Change of Variables in the Wheeler--De Witt Equation. https://arxiv.org/abs/gr-qc/9304045

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