Conservative quantities and their algebra in the self-dual gravity |
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| Authors: | Sze -Shiang Feng Yi -Shi Duan |
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| Affiliation: | (1) Institute of Nuclear Research, Academia Sinica, 201800 Shanghai, P.R. China;(2) Physics Department, Lanzhou University, 730000 Lanzhou, P.R. China |
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| Abstract: | A general covariant conservation law of energy-momentum in complex general relativity is obtained by way of general displacement transformation in terms of Ashtekar's new variables. The energy is exactly the adm Hamiltonian on the constraint surface on condition that an appropriate time function is chosen. The energy-momentum is gauge covariant and commutes with all the constraints whence they are physical observables. Furthermore, the Poisson brackets of the momentum and the internalSU(2) charges form a 3-Poincaré algebra. |
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