ADM-like Hamiltonian formulation of gravity in the teleparallel geometry
General Relativity and Quantum Cosmology
2013-11-11 v2 Mathematical Physics
math.MP
Abstract
We present a new Hamiltonian formulation of the Teleparallel Equivalent of General Relativity (TEGR) meant to serve as the departure point for canonical quantization of the theory. TEGR is considered here as a theory of a cotetrad field on a spacetime. The Hamiltonian formulation is derived by means of an ADM-like 3+1 decomposition of the field and without any gauge fixing. A complete set of constraints on the phase space and their algebra are presented. The formulation is described in terms of differential forms.
Keywords
Cite
@article{arxiv.1111.5498,
title = {ADM-like Hamiltonian formulation of gravity in the teleparallel geometry},
author = {Andrzej Okolow},
journal= {arXiv preprint arXiv:1111.5498},
year = {2013}
}
Comments
43 pages, LaTeX2e; the original 73 page paper arXiv:1111.5498v1 was revised and divided into two parts. The present paper is the first part of the original one (the second part is available as arXiv:1309.4685)