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

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

1998-08-02

arxiv.org/abs/gr-qc/9808001v1

Gen.Rel.Grav. 31 (1999) 173-185

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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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