Magnetovac Cylinder to Magnetovac Torus
arXiv:gr-qc/0610093 · doi:10.1088/0264-9381/23/24/016
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.
to appear in Class. Quant. Grav