New exact solutions of Einstein–Maxwell equations for magnetostatic fields

doi:10.1088/1674-1056/21/9/090401

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.

Keywords: Einstein-Maxwell equations symmetry reduction method exact solutions

Received: 28 November 2011
Revised: 17 February 2012
Accepted manuscript online:

PACS:	04.40.Nr	(Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields)
	02.20.Sv	(Lie algebras of Lie groups)
	04.20.Jb	(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).

Corresponding Authors: Nisha Goyal
E-mail: goyal.n104@gmail.com

Cite this article:

Nisha Goyal, R. K. Gupta New exact solutions of Einstein–Maxwell equations for magnetostatic fields 2012 Chin. Phys. B 21 090401

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