Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
We derive a canonical analysis of a double null 2+2 Hamiltonian description of General Relativity in terms of complex self-dual 2-forms and the associated SO(3) connection variables. The algebra of first class constraints is obtained and forms a Lie algebra that consists of two constraints that generate diffeomorphisms in the two surface, a constraint that generates diffeomorphisms along the null generators and a constraint that generates self-dual spin and boost transformations.
Keywords
Cite
@article{arxiv.gr-qc/0604027,
title = {Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables},
author = {R. A. d'Inverno and P Lambert and J. A. Vickers},
journal= {arXiv preprint arXiv:gr-qc/0604027},
year = {2009}
}
Comments
17 pages, LaTeX uses iopart.cls, to appear in Class. Quantum Grav