Abstract The symmetry reduction method based on the Fréchet 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.
Fund: Project supported by the Human Resource Development Group Council of Scientific Industrial Research (CSIR), India (Grant No. 09/677(0014)2009-EMR-1).
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