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Magnetovac Cylinder to Magnetovac Torus

E. N. Glass
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Abstract

A method for mapping known cylindrical magnetovac solutions to solutions in torus coordinates is developed. Identification of the cylinder ends changes topology from R1 x S1 to S1 x S1. An analytic Einstein-Maxwell solution for a toroidal magnetic field in tori is presented. The toroidal interior is matched to an asymptotically flat vacuum exterior, connected by an Israel boundary layer.

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E. N. Glass. 2006-10-18. Magnetovac Cylinder to Magnetovac Torus. https://doi.org/10.1088/0264-9381%2F23%2F24%2F016

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