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Constraint algebra and equations of motion in the Bohmian interpretation of quantum gravity

Ali Shojai1,2,3 and Fatimah Shojai2,3

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It is shown that introducing quantum effects using de Broglie–Bohm theory in the canonical formulation of gravity changes the constraint algebra. The new algebra is a clear projection of general coordinate transformations to the spatial and temporal diffeomorphisms. The quantum Einstein equations are manifestly covariant under the above diffeomorphisms.


PACS

04.60.Ds Canonical quantization

04.20.-q Classical general relativity

02.10.Ud Linear algebra

MSC

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 1 (7 January 2004)

Received 7 April 2003

Published 20 November 2003



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