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 frame formalism in the usual
form, and the frame 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.
Citation:
V. A. Franke, “Different canonical formulations of Einstein's theory of gravity”, TMF, 148:1 (2006), 143–160; Theoret. and Math. Phys., 148:1 (2006), 995–1010