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Perfect Fluid Spacetimes with a Purely Magnetic Weyl Tensor
Authors:C Lozanovski  C B G Mcintosh
Abstract:We present a solution of the gravitational fieldequations which is similar in form to that given byWainwright. Several cases are considered, in particularwe find a general algebraic perfect fluid solution with equation of state p = rgr whose Weyl tensor is of the purely magnetic type within a finiteregion of the spacetime. It is shown, for an observerwith four-velocity, umag say, that themetric's Weyl tensor is purely magnetic within the finiteregion while it is purely electric, as read by anotherobserver with four-velocity uele, elsewhere.Another observer, independent of the observers whomeasure the Weyl tensor to be purely electric ormagnetic, interprets the perfect fluid to have anequation of state p = rgr. The Petrov type of themetric, in this case, is I(Minfin) by theArianrhod-McIntosh classification and therefore there exists noconformally related metric which is vacuum. The vacuumseed metrics are derived for the perfect fluidsolutions.
Keywords:PURELY MAGNETIC SPACETIMES  EXACT SOLUTIONS  PERFECT FLUID
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