Partial and Complete Observables for Canonical General Relativity

Details Partial and Complete Observables for Canonical General Relativity Partial and Complete Observables for Canonical General Relativity

2005-07-25

arxiv.org/abs/gr-qc/0507106v1

Class.Quant.Grav. 23 (2006) 6155-6184

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages

Scientific paper

10.1088/0264-9381/23/22/006

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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