Ashtekar's New Variables and Positive Energy
General Relativity and Quantum Cosmology
2010-04-06 v1
Abstract
We discuss earlier unsuccessful attempts to formulate a positive gravitational energy proof in terms of the New Variables of Ashtekar. We also point out the difficulties of a Witten spinor type proof. We then use the special orthonormal frame gauge conditions to obtain a locally positive expression for the New Variables Hamiltonian and thereby a ``localization'' of gravitational energy as well as a positive energy proof.
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Cite
@article{arxiv.gr-qc/9401004,
title = {Ashtekar's New Variables and Positive Energy},
author = {James M. Nester and Roh-Suan Tung and Yuan Zhong Zhang},
journal= {arXiv preprint arXiv:gr-qc/9401004},
year = {2010}
}
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12 pages Plain TeX