General relativity on a null surface: Hamiltonian formulation in the teleparallel geometry
General Relativity and Quantum Cosmology
2015-06-25 v1
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.
Cite
@article{arxiv.gr-qc/9808001,
title = {General relativity on a null surface: Hamiltonian formulation in the teleparallel geometry},
author = {J. W. Maluf and J. F. da Rocha Neto},
journal= {arXiv preprint arXiv:gr-qc/9808001},
year = {2015}
}
Comments
15 pages, Latex, no figures, to appear in the Gen. Rel. Grav