New exact solutions of the Einstein-Maxwell equations for magnetostatic fields

作     者：Nisha Goyal R.K.Gupta 

作者机构：School of Mathematics and Computer ApplicationsThapar University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2012年第21卷第9期

页      面：103-108页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070102[理学-计算数学] 0704[理学-天文学] 0701[理学-数学] 

基　　金：Project supported by the Human Resource Development Group Council of Scientific Industrial Research (CSIR) India (Grant No. 09/677(0014)2009-EMR-1) 

主　　题：Einstein-Maxwell equations symmetry reduction method exact solutions 

摘      要：The symmetry reduction method based on the Frechet derivative of differential operators is applied to investigate symmetries of the Einstein-Maxwell field equations for magnetostatic fields, which is a coupled system of nonlinear partial differential equations of the second order. The technique yields invariant transformations that reduce the given system of partial differential equations to a system of nonlinear ordinary differential equations. Some of the reduced systems are further studied to obtain the exact solutions.