The double complex Ashtekar gravitational theory and the corresponding constraint equations with the cosmological term

doi:10.1088/1009-1963/11/4/303

中国物理B ›› 2002, Vol. 11 ›› Issue (4): 323-326.doi: 10.1088/1009-1963/11/4/303

The double complex Ashtekar gravitational theory and the corresponding constraint equations with the cosmological term

吴亚波, 李磊

Department of Physics, Liaoning Normal University, Dalian 116029, China

收稿日期:2001-10-25 修回日期:2001-12-03 出版日期:2005-06-13 发布日期:2005-06-13
基金资助:
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).

The double complex Ashtekar gravitational theory and the corresponding constraint equations with the cosmological term

Wu Ya-Bo (吴亚波), Li Lei (李磊)

Department of Physics, Liaoning Normal University, Dalian 116029, China

Received:2001-10-25 Revised:2001-12-03 Online:2005-06-13 Published:2005-06-13
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: Ashtekar gravity, constraint equations, reality conditions

中图分类号: (Exact solutions)

04.20.Jb

98.80.Jk (Mathematical and relativistic aspects of cosmology) 95.30.Sf (Relativity and gravitation)

吴亚波, 李磊. The double complex Ashtekar gravitational theory and the corresponding constraint equations with the cosmological term[J]. 中国物理B, 2002, 11(4): 323-326.

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[J]. Chinese Physics, 2002, 11(4): 323-326.

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The double complex Ashtekar gravitational theory and the corresponding constraint equations with the cosmological term

The double complex Ashtekar gravitational theory and the corresponding constraint equations with the cosmological term

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