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

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.

15 pages, Latex, no figures, to appear in the Gen. Rel. Grav

References in corpus (1)

• Sparling two-forms, the conformal factor and the gravitational energy density of the teleparallel equivalent of general relativity

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