Magnetovac cylinder to magnetovac torus
نویسنده
چکیده
A method for mapping known cylindrical magnetovac solutions to solutions in torus coordinates is developed. Identification of the cylinder ends changes topology from R1 × S1 to S1 × 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. PACS numbers: 04.20.Jb, 04.40.Dg, 04.40.Nr
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