Magnetovac Cylinder to Magnetovac Torus
General Relativity and Quantum Cosmology
2009-11-11 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/0610093,
title = {Magnetovac Cylinder to Magnetovac Torus},
author = {E. N. Glass},
journal= {arXiv preprint arXiv:gr-qc/0610093},
year = {2009}
}
Comments
to appear in Class. Quant. Grav