Isovector fields and similarity solutions of Einstein vacuum equations for rotating fields

被引：30
作者：
Attallah, S. K. [1 ]
El-Sabbagh, M. F. [2 ]
Ali, A. T. [1 ]
机构：
[1] Al Azhar Univ, Fac Sci, Dept Math, Nasr City 11884, Cairo, Egypt
[2] Menia Univ, Fac Sci, Dept Math, Al Minya, Egypt
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2007年 / 12卷 / 07期
关键词：
Isovector fields; Symmetry groups; Einstein vacuum equations;
D O I：
10.1016/j.cnsns.2006.02.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The isovector fields (infinitesimal generators of Lie groups) of Einstein vacuum equations for stationary axially symmetric rotating fields, in conventional form, that is a coupled system of nonlinear partial differential equations (PDEs) of second order are derived using the geometric prolongation technique. Some symmetry transformations and similarity (exact) solutions of Einstein vacuum equations are obtained. (C) 2006 Elsevier B. V. All rights reserved.
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页码：1153 / 1161
页数：9
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