Boundary term, extended Witten identities and positivity of energy
General Relativity and Quantum Cosmology
2007-07-14 v1
Abstract
In terms of two-spinors a chiral formulation of general relativity with the Ashtekar Lagrangian and its Hamiltonian formalism in which the basic dynamic variables are the dyad spinors are presented. The extended Witten identities are derived. A new expression of the Hamiltonian boundary term is obtained. Using this expression and the extended Witten identities the proof of the positive energy theorem is extended to a case including momentum and angular momentum.
Cite
@article{arxiv.gr-qc/0503036,
title = {Boundary term, extended Witten identities and positivity of energy},
author = {G. Y. Chee and Jingfei Zhang and Yongxin Guo},
journal= {arXiv preprint arXiv:gr-qc/0503036},
year = {2007}
}
Comments
12 pages, no figure