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Hamiltonian formulation of teleparallel theories of gravity in the time gauge

J. W. Maluf·A. A. Sousa
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Abstract

We consider the most general class of teleparallel theories of gravity quadratic in the torsion tensor, and carry out a detailed investigation of its Hamiltonian formulation in the time gauge. Such general class is given by a three-parameter family of theories. A consistent implementation of the Legendre transform reduces the original theory to a one-parameter theory determined in terms of first class constraints. The free parameter is fixed by requiring the Newtonian limit. The resulting theory is the teleparallel equivalent of general relativity.

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J. W. Maluf, A. A. Sousa. 2000-02-16. Hamiltonian formulation of teleparallel theories of gravity in the time gauge. https://arxiv.org/abs/gr-qc/0002060

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