A Real Polynomial Formulation of General Relativity in terms of Connections
General Relativity and Quantum Cosmology
2017-03-24 v1
Abstract
I show in this letter that it is possible to construct a Hamiltonian description for Lorentzian General Relativity in terms of two real connections. The constraints are simple polynomials in the basic variables. The present framework gives us a new formulation of General Relativity that keeps some of the interesting features of the Ashtekar formulation without the complications associated with the complex character of the latter.
Keywords
Cite
@article{arxiv.gr-qc/9311019,
title = {A Real Polynomial Formulation of General Relativity in terms of Connections},
author = {J. Fernando Barbero},
journal= {arXiv preprint arXiv:gr-qc/9311019},
year = {2017}
}
Comments
13 pages, LATEX, Preprint CGPG-93/11-3