Observables for General Relativity related to geometry
General Relativity and Quantum Cosmology
2014-05-23 v2
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.
Cite
@article{arxiv.1403.8062,
title = {Observables for General Relativity related to geometry},
author = {Paweł Duch and Wojciech Kamiński and Jerzy Lewandowski and Jedrzej Świeżewski},
journal= {arXiv preprint arXiv:1403.8062},
year = {2014}
}
Comments
33 pages, 1 figure