【摘要】 利用推广形式的二重复Ernst方程的已知种子解,通过一种Bācklund变换来获得新解,从稳态轴对称引力真空场的二重复Ernst方程出发,通过定义新坐标x₁=P+JZ,x₂=P-J₂得到一种推广形式的二重复Ernst方程,并通过对其种子解进行Ⅰ变换。从而得到一种新形式的Bcklund变换来生成Ernst方程的新解,此Ⅰ变换满足群性质.更多还原

【Abstract】 A New solution is obtained through unknown seed solutions of popularized dual compound Ernst equation and a Backlund transformation. From dual compound Ernst equation of gravitational vacuum field of symmetry, a new coordinate X1 = P + JZ, X2 = P - J is defined, thus obtaining a popularized dual compound Ernst equation. By earring out transformation of I for its seed solution, a new Backlund transformation is gained to generate a new equation of Ernst equation. The transformation of I can satisfy group nature.更多还原