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利用Ernst方法 ,在Harrison变换为线性变换的条件下 ,得到Kasuya荷电荷磁的外部引力场解 ,解中所含常量B0 表示一均匀弱磁场 ,该解不要求q =- 2B0 J .当r趋于∞时 ,度规接近Melvin’s磁宇宙的渐进行为 .该度规是非渐近平直的 ,在均匀外磁场下这是合理的结果 .

Using the Ernest's method and adopting the Harrison transform under the linear condition, we obtained an expression of the exterior metric associated with the Kasuya dyon, q not equal - 2B(0) J, in a magnetic field. There is an arbitrary parameter B-0 in the expression, it expresses a homogeneously weak magnetic field. While r --> infinity the metric approaches asymptotically the Melvin magnetic universe, it is reasonable that the metric does not become asymptotically flat in a homogeneously magnetic field.