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Partial and Complete Observables for Canonical General Relativity

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arxiv gr-qc/0507106 v1 pith:XZXDD4FF submitted 2005-07-25 gr-qc

Partial and Complete Observables for Canonical General Relativity

classification gr-qc
keywords observablescanonicaldiracgeneralrelativitycompleteconceptsinvariant
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work we will consider the concepts of partial and complete observables for canonical general relativity. These concepts provide a method to calculate Dirac observables. The central result of this work is that one can compute Dirac observables for general relativity by dealing with just one constraint. For this we have to introduce spatial diffeomorphism invariant Hamiltonian constraints. It will turn out that these can be made to be Abelian. Furthermore the methods outlined here provide a connection between observables in the space--time picture, i.e. quantities invariant under space--time diffeomorphisms, and Dirac observables in the canonical picture.

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Cited by 6 Pith papers

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