Conservative quantities and their algebra in the self-dual gravity

Details Conservative quantities and their algebra in the self-dual gravity Conservative quantities and their algebra in the self-dual gravity

Aug 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995gregr..27..887f&link_type=abstract

General Relativity and Gravitation, Volume 27, Issue 8, pp.887-903

Physics

10

Scientific paper

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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