New exact solutions of the Einstein-Maxwell equations for magnetostatic fields
摘要
The symmetry reduction method based on the Fr′echet 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.
引用本文（GB/T 7714）
Nisha, Goyal, Gupta. New exact solutions of the Einstein-Maxwell equations for magnetostatic fields[J]. 中国物理B：英文版, 2012.
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