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On Magnetic solution to 2+1 Einstein--Maxwell gravity

M. Cataldo·J. Crisostomo·S. del Campo·P. Salgado
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Abstract

The three--dimensional magnetic solution to the Einstein--Maxwell field equations have been considered by some authors. Several interpretations have been formulated for this magnetic spacetime. Up to now this solution has been considered as a two--parameter self--consistent field. We point out that the parameter related to the mass of this solution is just a pure gauge and can be rescaled to minus one. This implies that the magnetic metric has really a simple form and it is effectively one-parameter solution, which describes a distribution of a radial magnetic field in a 2+1 anti--de Sitter background space--time. We consider an alternative interpretation to the Dias--Lemos one for the magnetic field source.

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M. Cataldo, J. Crisostomo, S. del Campo, P. Salgado. 2004-01-25. On Magnetic solution to 2+1 Einstein--Maxwell gravity. https://doi.org/10.1016/j.physletb.2004.01.062

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