Toroidal magnetic field in closed Robertson-Walker cosmologies

Details Toroidal magnetic field in closed Robertson-Walker cosmologies Toroidal magnetic field in closed Robertson-Walker cosmologies

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..50.5429o&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 50, Issue 8, 15 October 1994, pp.5429-5430

Physics

1

Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields

Scientific paper

In the background of a Robertson-Walker universe model with a positive spatial curvature and arbitrary time evolution, the exact solution of a sourceless magnetic field with finite range is presented. The field seems an inhomogeneous solid torus spanning the entire space, and is nonsingular. Both topologies that permit global isotropy are considered: the three-sphere S3 and the multiply connected projective three-space P3.

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