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.
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
关键词
真空引力场
RH法
二重复方法
VIRASORO代数
stationary gravitational field
axisymmetric gravitational field
vacuumgravitational field
RH method/double complex method
Virasoro algebra
