• PLANE SYMMETRIC NULL FLUIDS AND NULL CURRENTS IN GENERAL RELATIVITY
Abstract
In this paper, Einstein-Maxwell’s equations in the presence of null fluids and null currents have been investigated in a space-time having plane symmetry introduced by Takeno[Tensor N.S. Vol.7, No.2, pp 97-102, 1957]which was studied and defined by Taub[Ann.Math.53,472 (1951)].It has been found that a class of solutions exists which includes some particular cases.Furthermore it is credited that the space-times with plane symmetry,representing plane waves, no null electric currents is possible which corroborates the observation of Professor Bonnor[5]: Plane wave solutions of Maxwell’s equations are source free and physically this is taken to mean that the sources occure at infinity.
Keywords
Plane symmetry, Plane gravitational waves, Curvature tensor, Ricci tensor, Electromagnetic tensor, Energy tensor
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