有挠时空引力场的Newman-Penrose方程  

Newman-Penrose Formalism for Space-times with Torsion

作　　者：万明芳[1] 

机构地区：[1]武汉理工大学理学院,武汉430063

出　　处：《武汉理工大学学报》2004年第5期90-92,共3页Journal of Wuhan University of Technology

摘　　要：考虑具有局部 L orentz度规 gμν和非对称联络Гμνλ 的四维微分流形 U4 ,给出 U4 时空的标架分量和旋系数 ,引入新的 Ricci张量和曲率张量的无迹部分的标架分量 ,导出挠率的 Bianchi恒等式。将旋系数表述的 Newm an- Penrose方程推广到包含任何非对称联络的时空 ,得到 U4 空间的 Newman- Penrose方程。所得到的方程较之无挠时空的方程更长且方程数更多 ,由于联络的非对称性 ,这是必然的 ,方程的复杂性也是不可避免的。但认为在时空有挠的 U4 空间求解引力场问题 ,这一方程组将是相对便利的形式。Using the manifold U_4 with a locally Lorentz metric g_ μν and a linear connection Г_ μν λ which need not be symmetric,tetrad components and spin coefficients of U_4 space are produced. Introducing the new components of the Ricci tensor and trace-free part of the curvature tensor in U_4 space,the Bianchi identity for the torsion is obtained. Newman-Penrose formala which is represented in terms of spin coefficients is extended to include the possibility of an asymmetric connection. These equations are more numerous and more lengthy. It is hoped that this approach will be useful in dealing with certain problems in other theories of gravitation that include torsion.

关 键 词：旋系数 Newman-Penrose方程 挠率 

分 类 号：O450[理学—无线电物理]