多重R－H法及二重Ernst方程解空间的无穷维对称Virasoro群  

Multiple R-H Method and the infinite -Dimensional Virasoro Group on the Solution Space of the Double Ernst Equation

作　　者：刘俊德[1] 高亚军[1] 

机构地区：[1]锦州师范学院

出　　处：《大连铁道学院学报》1995年第1期5-12,共8页Journal of Dalian Railway Institute

摘　　要：本文将稳态轴对称真空场（ＳＡＶＦ）方程写作二重Ｈａｕｓｅｒ－Ｅｒｎｓｔ矩阵形式，建立了多重Ｒｓｅｒｎａｎｎ－Ｈｉｌｂｅｒｔ问题方法，用以给出ＳＡＶＦ解空间无穷维Ｖｌｉａｓｏｒｏ群的多重表示，由此可直接由已知解生成新解，并指出了无穷小变换的多重无穷维Ｖｉｒａｓｏｒｏ代数结构。The stationary axisymmetric vacuum field(SAVF)equatiom.are written as a doubleHauser-Ernst matrix equation. The multiple Riemann-Hilbert problem method is proposed and isapplied to establish some multiple representations of the infinite-dimensional Virasoro group on thesolution space of the SAVF,So we can generate new solutions from the known ones,and get the mul-tiple infinite-dimensional Virasoro algebraic structures of the infinitesimal R-H transformations.

关 键 词：真空引力场 RH法 二重复方法 VIRASORO代数 

分 类 号：O412.1[理学—理论物理]