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Observables for General Relativity related to geometry

We present a new scheme of defining invariant observables for general relativistic systems. The scheme is based on the introduction of an observer which endowes the construction with a straightforward physical interpretation. The observables are invariant with respect to spatial diffeomorphisms which preserve the observer. The limited residual spatial gauge freedom is studied and fully understood. A full canonical analysis of the observables is presented: we analyze their variations, Poisson algebra and discuss their dynamics. Lastly, the observables are used to solve the vector constraint, which triggers a possible considerable reduction of the degrees of freedom of general relativistic theories.

preprint2014arXivOpen access
Paweł DuchWojciech KamińskiJerzy LewandowskiJedrzej Świeżewski
gr-qc
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Open access4 authors1 topic
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Paweł DuchWojciech KamińskiJerzy LewandowskiJedrzej Świeżewski

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