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Phys. Rev. D 67, 024031 (2003) [4 pages]

Noether-charge realization of diffeomorphism algebra

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Han-Ying Guo1,2,3,*, Chao-Guang Huang2,3,†, and Xiaoning Wu4,‡
1CCAST, World Laboratory, P.O. Box 8730, Beijing 100080, China
2Institute of High Energy Physics, Chinese Academy of Sciences, P.O. Box 918(4), Beijing 100039, China
3Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, China
4Max Planck Institut für Gravitationsphysik, Am Mühlenberg 1, 14476 Golm, Germany

Received 22 August 2002; published 30 January 2003

We present the Noether-charge realization of the diffeomorphism invariance of the gravitational theory in the covariant phase space formalism. With the help of the null tetrad well defined on the horizon, it is shown that the central term vanishes for the reduced diffeomorphism algebra on the Killing horizon with respect to a large class of vector fields in the vacuum general relativity.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.024031
DOI:
10.1103/PhysRevD.67.024031
PACS:
04.20.Fy, 04.20.Cv, 11.40.Dw

*Email address: hyguo@itp.ac.cn

†Email address: huangcg@mail.ihep.ac.cn

‡Email address: wuxiaon@yahoo.com.cn

 
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