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Advances in Mathematical Physics
Volume 2015, Article ID 916026, 13 pages
Research Article

Exact Relativistic Magnetized Haloes around Rotating Disks

1Facultad de Ciencias Básicas, Universidad Tecnológica de Bolívar, CP 131001, Cartagena, Colombia
2Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, 04510 México, DF, Mexico
3Federal University of Latin-American Integration, P.O. Box 2123, 85867-670 Foz do Iguaçu, PR, Brazil
4Casimiro Montenegro Filho Astronomy Center, Itaipu Technological Park, 85867-900 Foz do Iguaçu, PR, Brazil

Received 16 August 2015; Revised 9 September 2015; Accepted 18 November 2015

Academic Editor: Klaus Kirsten

Copyright © 2015 Antonio C. Gutiérrez-Piñeres and Abraão J. S. Capistrano. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The study of the dynamics of magnetic fields in galaxies is one of important problems in formation and evolution of galaxies. In this paper, we present the exact relativistic treatment of a rotating disk surrounded by a magnetized material halo. The features of the halo and disk are described by the distributional energy-momentum tensor of a general fluid in canonical form. All the relevant quantities and the metric and electromagnetic potentials are exactly determined by an arbitrary harmonic function only. For instance, the generalized Kuzmin-disk potential is used. The particular class of solutions obtained is asymptotically flat and satisfies all the energy conditions. Moreover, the motion of a charged particle on the halo is described. As far as we know, this is the first relativistic model describing analytically the magnetized halo of a rotating disk.