%0 Journal Article %T THE SPINOR FORMALISM AND THE COMPLEX-VECTOR FORMALISM OF GENERAL RELATIVITY
广义相对论的旋量和复矢量形式 %A GUO HAN-YING %A WU YONG-SHI %A LI GEN-DAO %A
郭汉英 %A 吴詠时 %A 李根道 %J 物理学报 %D 1974 %I %X In this paper, using E. Carten's exterior calculus, we give the spinor form of the structure equations, which leads naturally to the Newman-Penrose equations. Further, starting from the spinor space and the sl(2C) algebra, we construct the general complex-vector formalism of general relativity. We find that both the Cahen-Debever-Defrise complex-vector formalism and the Brans one are its special cases. Thus, the spinor formalism and the complex-vector formalism of general relativity are unified on the basis of the unimodular group SL(2C) and its Lie algebra. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=9A86D18F8A6275C3&yid=CF7717776B0449E1&vid=EA389574707BDED3&iid=94C357A881DFC066&sid=94C357A881DFC066&eid=7801E6FC5AE9020C&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0