Homogeneous 2+1 Dimensional Gravity in the Ashtekar Formulation
General Relativity and Quantum Cosmology
2017-03-24 v1
Abstract
The constraint hypersurfaces defining the Witten and Ashtekar formulations for 2+1 gravity are very different. In particular the constraint hypersurface in the Ashtekar case is not a manifold but consists of several sectors that intersect each other in a complicated way. The issue of how to define a consistent dynamics in such a situation is then rather non-trivial. We discuss this point by working out the details in a simplified (finite dimensional) homogeneous reduction of 2+1 gravity in the Ashtekar formulation.
Keywords
Cite
@article{arxiv.gr-qc/9507044,
title = {Homogeneous 2+1 Dimensional Gravity in the Ashtekar Formulation},
author = {J. Fernando Barbero and Madhavan Varadarajan},
journal= {arXiv preprint arXiv:gr-qc/9507044},
year = {2017}
}
Comments
31 pages, latex