Abstract
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.
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ArXiv ePrint: 1403.8062
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Duch, P., Kamiński, W., Lewandowski, J. et al. Observables for general relativity related to geometry. J. High Energ. Phys. 2014, 77 (2014). https://doi.org/10.1007/JHEP05(2014)077
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DOI: https://doi.org/10.1007/JHEP05(2014)077