Magnetovac Cylinder to Magnetovac Torus
classification
🌀 gr-qc
keywords
magnetovaccylindersolutionstoroidaltorusanalyticasymptoticallyboundary
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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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