Noether-Charge Realization of Diffeomorphism Algebra
General Relativity and Quantum Cosmology
2009-02-24 v1
Abstract
It is shown in the covariant phase space formalism that the Noether charges with respect to the diffeomorphism generated by vector fields and their horizontal variations in general relativity form a diffeomorphism algebra. It is also shown with the help of the null tetrad which is well defined everywhere that the central term of the reduced diffeomorphism algebra on the Killing horizon for a large class of vector fields vanishes.
Keywords
Cite
@article{arxiv.gr-qc/0208067,
title = {Noether-Charge Realization of Diffeomorphism Algebra},
author = {Han-Ying Guo and Chao-Guang Huang and Xiaoning Wu},
journal= {arXiv preprint arXiv:gr-qc/0208067},
year = {2009}
}