Noether-Charge Realization of Diffeomorphism Algebra

Details Noether-Charge Realization of Diffeomorphism Algebra Noether-Charge Realization of Diffeomorphism Algebra

2002-08-23

arxiv.org/abs/gr-qc/0208067v1

Phys.Rev.D67:024031,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.67.024031

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.

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