Gravitational Constraints which Generate a Lie Algebra
General Relativity and Quantum Cosmology
2016-08-31 v1
Abstract
The coupling of gravity to dust helps to discover simple quadratic combinations of the gravitational super-Hamiltonian and supermomentum whose Poisson brackets strongly vanish. This leads to a new form of vacuum constraints which generate a true Lie algebra. We show that the coupling of gravity to a massless scalar field leads to yet another set of constraints with the same property, albeit not as simple as that based on the coupling to dust.
Cite
@article{arxiv.gr-qc/9501005,
title = {Gravitational Constraints which Generate a Lie Algebra},
author = {Karel V. Kuchar and Joseph D. Romano},
journal= {arXiv preprint arXiv:gr-qc/9501005},
year = {2016}
}
Comments
10 pages, latex file, no figures