| 广义相对论的旋量和复矢量形式 |
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| 引用本文： | 郭汉英,吴詠时,李根道.广义相对论的旋量和复矢量形式[J].物理学报,1974,23(5):5-16. |
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| 作者姓名： | 郭汉英 吴詠时 李根道 |
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| 作者单位： | 中国科学院原子能研究所;中国科学院物理研究所;中国科学院数学研究所 |
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| 摘 要： | 本文利用Cartan外微分法,给出结构方程的旋量形式,从而自然得出Newman-Penrose方程。进而由旋量空间出发,利用sl(2C)代数引出广义相对论的复矢量形式。通常采用的Cahen-Debever-Defrise复矢量形式及Brans复矢量形式是这里的特殊情形。这样,便从么模群SL(2C)及其李代数sl(2C)的角度得到了引力场复矢量表述的普遍形式,并把旋量和复矢量形式统一了起来。
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| 收稿时间： | 2/7/1973 12:00:00 AM |
THE SPINOR FORMALISM AND THE COMPLEX-VECTOR FORMALISM OF GENERAL RELATIVITY |
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| GUO HAN-YING,WU YONG-SHI and LI GEN-DAO.THE SPINOR FORMALISM AND THE COMPLEX-VECTOR FORMALISM OF GENERAL RELATIVITY[J].Acta Physica Sinica,1974,23(5):5-16. |
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| Authors: | GUO HAN-YING WU YONG-SHI and LI GEN-DAO |
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| Abstract: | 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. |
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