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Redundancy of constraints in the classical and quantum theories of gravitation.It is shown that in Dirac's version of the quantum theory of gravitation, the Hamiltonian constraints are greatly redundant. If the Hamiltonian constraint condition is satisfied at one point on the underlying, closed three-dimensional manifold, then it is automatically satisfied at every point, provided only that the momentum constraints are everywhere satisfied. This permits one to replace the usual infinity of Hamiltonian constraints by a single condition which may be taken in the form of an integral over the manifold. Analogous theorems are given for the classical Einstein Hamilton-Jacobi equations.
Document ID
19720036529
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Moncrief, V.
(Maryland, University College Park, Md., United States)
Date Acquired
August 6, 2013
Publication Date
January 15, 1972
Publication Information
Publication: Physical Review D - Particles and Fields
Subject Category
Physics, General
Accession Number
72A20195
Funding Number(s)
CONTRACT_GRANT: NGR-20-002-010
Distribution Limits
Public
Copyright
Other

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