二重复数方法求解含有电磁场的轴对称引力场  

Solving Axisymmetric Gravitation Field with Electromaticstatic Field by Double Complex Method

作　　者：方戈亮[1] 高明[1] 吕嫣[1] 徐琦[1] 韩相妍[1] 

机构地区：[1]沈阳师范大学物理科学与技术学院,辽宁沈阳110034

出　　处：《沈阳师范大学学报（自然科学版）》2006年第2期161-165,共5页Journal of Shenyang Normal University:Natural Science Edition

基　　金：辽宁省教育厅高等学校科学研究计划项目(05L415)

摘　　要：讨论由已知的真空引力场解生成含有电磁场解问题,并求出静电势和静磁势.首先利用双曲复数将Chandraskhar的含有带电体的引力场方程化成双曲Ernst方程,这样可以利用双曲复数的Ernst解生成静电势、度规.相反还可以用Bonnor的结果求得真空的新解.应用二重复数方法将Catenacci的结果二重化,直接产生静电势和静磁势,并讨论其物理意义.In this paper, we discuss axisymmetric gravitation field with electromagneticstatic field. Chandraskhar＇s field equations are changed in to a hyperbolic Ernst equation. The result turn out electrostatic potential and metric. The vacuam metric is given by Bonnor＇ s consequence. Catenacci ＇ s result is written in double forms, and electrostatic potential and magneticstatic potential are given. The physic meaning are discussed as well.

关 键 词：双曲复函数 轴对称引力场 复Ernst方程 

分 类 号：O412.1[理学—理论物理]