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General relativity on a null surface: Hamiltonian formulation in the teleparallel geometry

J. W. Maluf·J. F. da Rocha Neto
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Abstract

The Hamiltonian formulation of general relativity on a null surface is established in the teleparallel geometry. No particular gauge conditons on the tetrads are imposed, such as the time gauge condition. By means of a 3+1 decomposition the resulting Hamiltonian arises as a completely constrained system. However, it is structurally different from the the standard Arnowitt-Deser-Misner (ADM) type formulation. In this geometrical framework the basic field quantities are tetrads that transform under the global SO(3,1) and the torsion tensor.

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J. W. Maluf, J. F. da Rocha Neto. 1998-08-02. General relativity on a null surface: Hamiltonian formulation in the teleparallel geometry. https://doi.org/10.1023/a%3A1018836025605

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