A Canonical Analysis of the First Order Einstein-Hilbert Action
General Relativity and Quantum Cosmology
2007-11-19 v1 High Energy Physics - Theory
Abstract
The Dirac constraint formalism is applied to the d(d>2) dimensional Einstein-Hilbert action when written in first order form, using the metric density and affine connection as independent fields. Field equations not involving time derivatives are not used to eliminate fields. Primary, secondary and tertiary constraints arise, leaving d(d-3) degrees of freedom in phase space. The Poisson Bracket algebra of these constraints is given.
Keywords
Cite
@article{arxiv.0711.2543,
title = {A Canonical Analysis of the First Order Einstein-Hilbert Action},
author = {R. N. Ghalati and D. G. C. McKeon},
journal= {arXiv preprint arXiv:0711.2543},
year = {2007}
}