Partial and Complete Observables for Canonical General Relativity

Dittrich, Bianca

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Partial and Complete Observables for Canonical General Relativity

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Dittrich, Bianca
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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cqg6_22_006.pdf
(出版社版), 320KB

0507106.pdf
(プレプリント), 354KB

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引用

Dittrich, B. (2006). Partial and Complete Observables for Canonical General Relativity. Classical and Quantum Gravity, 23(22), 6155-6184.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-4B32-3

要旨

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.