Mathematical Physics

    

Paradox in General Relativity for a Charged Sphere

Authors: Karl De Paepe

For a static charged sphere with small mass and charge we make gauge and coordinate transformations so that the electromagnetic vector potential has a time component of one and zero space components at all points. We consider Einstein field equations with this potential. There is a solution that has no electromagnetic field. This is a contradiction since we began, before the transformations, with a nonzero electromagnetic field.

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[v1] 2022-09-22 01:46:26

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