vacuum field equation

Based on reviewing vacuum field equation which is stationary and axisymmetric , i.e. , the Ernst equation , and the generating technique of solutions , some spacetime properties and geodesics properties are studied by using the NUT-Taub-like ( NT-like ) solution obtained recently .

本文在回顾稳态轴对称真空场方程，即Ernst方程及其解的生成技术基础上，从最近得到的NUT-Taub-like（NT-like）解出发，对这个度规的时空的性质和测地线性质进行了研究。