由二重递推计算来求解稳态轴对称爱因斯坦真空场方程

A GENERALIZED DOUBLE COMPLEX ERNST EQUATION

利用二重复方法，通过坐标变换将稳态轴对称真空引力场的二重复Ｅｒｎｓｔ方程推广为一种便于进一步利用的新形式的方程组．从该方程组的已知解出发，通过一组递推公式的计算可得到方程的新解．利用此递推公式作多次迭代，则可生成更多的新解．

Double complex Ernst equation of axial symmetric stationary vacuum gravity field is generalized to a convenient form for further use through a coordinate transformation by the double complex method.New solutions can be obtained from known seed solutions by some recurrence formulas.What's more,more new solutions can be obtained by using the formulas many times.