Hamiltonian formulation of teleparallel theories of gravity in the time gauge

Details Hamiltonian formulation of teleparallel theories of gravity in the time gauge Hamiltonian formulation of teleparallel theories of gravity in the time gauge

2000-02-16

arxiv.org/abs/gr-qc/0002060v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, Latex file, no figures

Scientific paper

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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