ADM-like Hamiltonian formulation of gravity in the teleparallel geometry

Author: Okołów Andrzej  

Publisher: Springer Publishing Company

ISSN: 0001-7701

Source: General Relativity and Gravitation, Vol.45, Iss.12, 2013-12, pp. : 2569-2610

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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 $$3+1$$ 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.