Magnetovac Cylinder to Magnetovac Torus

Details Magnetovac Cylinder to Magnetovac Torus Magnetovac Cylinder to Magnetovac Torus

2006-10-18

arxiv.org/abs/gr-qc/0610093v1

Class.Quant.Grav. 23 (2006) 7455-7470

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

to appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/23/24/016

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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