Different canonical formulations of Einstein's theory of gravity
General Relativity and Quantum Cosmology
2008-11-26 v2
Abstract
We describe the four most famous versions of the classical canonical formalism in the Einstein theory of gravity: the Arnovitt-Deser-Misner formalism, the Faddeev-Popov formalism, the tetrad formalism in the usual form, and the tetrad formalism in the form best suited for constructing the loop theory of gravity, which is now being developed. We present the canonical transformations relating these formalisms. The paper is written mainly for pedagogical purposes.
Keywords
Cite
@article{arxiv.0710.4953,
title = {Different canonical formulations of Einstein's theory of gravity},
author = {V. A. Franke},
journal= {arXiv preprint arXiv:0710.4953},
year = {2008}
}
Comments
LaTeX, 18 pages, some misprints in formulas (131)-(134) are corrected