ADM-like Hamiltonian formulation of gravity in the teleparallel geometry |
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Authors: | Andrzej Okołów |
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Institution: | 1. Institute of Theoretical Physics, Warsaw University, ul. Ho?a 69, 00-681?, Warsaw, Poland
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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. |
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