广义相对论中Newman-Penrose形式的双向量--从电磁学到Weyl曲率张量
Bivectors in Newman-Penrose formalism in General Relativity -- from electromagnetism to Weyl curvature tensor
摘要：
广义相对论中的双向量和Newman-Penrose形式对描述爱因斯坦场方程的精确解有重要意义。通过将正交Minkowski基的复自对偶电磁场变换为复零四元基的双矢量，介绍了Newman-Penrose形式中双矢量的基本思想和计算细节。在此基础上，得到了Newman-Penrose形式下Weyl张量的复系数.
英文摘要：
The use of the bivectors in the General Relativity with Newman-Penrose formalism is important to the description of the exact solutions of the Einstein's field equations. This review is devoted to introduce the basic ideas with calculation details of the bivectors in Newman-Penrose formalism through conversion of the complex self-dual electromagnetic field from orthornormal Minkowski basis to bivectors in the complex null tetrad basis. Furthermore, in this context, it is obtained the complex coefficients of the Weyl tensor in Newman-Penrose formalism.
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