Abstract We establish the double complex Ashtekar gravitational theory with the cosmological term. In particular, by performing the 3+1 decomposition of the double Ashtekar action containing the cosmological term to pass on the Hamiltonian framework, the double Ashtekar constraint equations are derived, which respectively correspond to Lorentzian and Euclidean gravity.
Received: 25 October 2001
Revised: 03 December 2001
Accepted manuscript online:
Fund: Project supported by the Scientific Research Foundation of the Higher Educational Institution of Liaoning Province, China (Grant No 20041012, and the National Natural Science Foundation of China (Grant No 10175032).
Cite this article:
Wu Ya-Bo (吴亚波), Li Lei (李磊) The double complex Ashtekar gravitational theory and the corresponding constraint equations with the cosmological term 2002 Chinese Physics 11 323
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