Exact Relativistic Magnetized Haloes around Rotating Disks

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...

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Main Authors: Antonio C. Gutiérrez-Piñeres, Abraão J. S. Capistrano
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/916026
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author Antonio C. Gutiérrez-Piñeres
Abraão J. S. Capistrano
author_facet Antonio C. Gutiérrez-Piñeres
Abraão J. S. Capistrano
author_sort Antonio C. Gutiérrez-Piñeres
collection DOAJ
description 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.
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spelling doaj-art-1f8c744f1116445ab5f0e129912e0d212025-02-03T01:28:15ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/916026916026Exact Relativistic Magnetized Haloes around Rotating DisksAntonio C. Gutiérrez-Piñeres0Abraão J. S. Capistrano1Facultad de Ciencias Básicas, Universidad Tecnológica de Bolívar, CP 131001, Cartagena, ColombiaFederal University of Latin-American Integration, P.O. Box 2123, 85867-670 Foz do Iguaçu, PR, BrazilThe 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.http://dx.doi.org/10.1155/2015/916026
spellingShingle Antonio C. Gutiérrez-Piñeres
Abraão J. S. Capistrano
Exact Relativistic Magnetized Haloes around Rotating Disks
Advances in Mathematical Physics
title Exact Relativistic Magnetized Haloes around Rotating Disks
title_full Exact Relativistic Magnetized Haloes around Rotating Disks
title_fullStr Exact Relativistic Magnetized Haloes around Rotating Disks
title_full_unstemmed Exact Relativistic Magnetized Haloes around Rotating Disks
title_short Exact Relativistic Magnetized Haloes around Rotating Disks
title_sort exact relativistic magnetized haloes around rotating disks
url http://dx.doi.org/10.1155/2015/916026
work_keys_str_mv AT antoniocgutierrezpineres exactrelativisticmagnetizedhaloesaroundrotatingdisks
AT abraaojscapistrano exactrelativisticmagnetizedhaloesaroundrotatingdisks