A NEW METHOD TO GENERATE THE SOLUTIONS OF THE REDUCED EINSTEIN EQUATIONS
一种产生Einstein约化场方程解的方法

In this paper, we present a new transformation in the solution space of the Ernst equation and investigat the relationship between the solutions of the Ernst equation and our transformation. We show that the Ernst equation is invariant under such a transformation, i.e., our transformation can be used to generate the new solutions of the Ernst equation from the old ones. Finally, we discuss the relationship between the Virasoro algebra and this transformation.