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本文给出了在Ernst场方程的解空间上的一种新变换,并且研究了这种变换与Ernst场方程解之间的关系。证明了在这种变换下,Ernst场方程是不变的,即由我们的这种变换可产生Ernst场方程的新解。最后还讨论了这种变换与Virasoro代数的关系。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.
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