caa a22 4500 445387696 CHVBK 20180317143036.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s10714-011-1219-1 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1219-1 General magnetized Weyl solutions: disks and motion of charged particles [Elektronische Daten] [Cristian García-Duque, Gonzalo García-Reyes] We construct three families of general magnetostatic axisymmetric exact solutions of Einstein-Maxwell equations in spherical coordinates, prolate, and oblates. The solutions obtained are then presented in the system of generalized spheroidal coordinates which is a generalization of the previous systems. The method used to build such solutions is the well-known complex potential formalism proposed by Ernst, using as seed solutions vacuum solutions of the Einstein field equations. We show explicitly some particular solutions among them a magnetized Erez-Rosen solution and a magnetized Morgan-Morgan solution, which we interpret as the exterior gravitational field of a finite dislike source immersed in a magnetic field. From them we also construct using the well known "displace, cut and reflect” method exact solutions representing relativistic thin disks of infinite extension. We then analyze the motion of electrically charged test particles around these fields for equatorial circular orbits and we discuss their stability against radial perturbations. For magnetized Morgan-Morgan fields we find that inside of disk the presence of magnetic field provides the possibility of to find relativist charged particles moving in both prograde and retrograde direction. Springer Science+Business Media, LLC, 2011 General relativity nationallicence Exact solutions: thin disk nationallicence Einstein-Maxwell equations nationallicence García-Duque Cristian Departamento de Física, Universidad Tecnológica de Pereira, A. A. 97, Pereira, Colombia aut García-Reyes Gonzalo Departamento de Física, Universidad Tecnológica de Pereira, A. A. 97, Pereira, Colombia aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/11(2011-11-01), 3001-3032 0001-7701 43:11<3001 2011 43 10714 https://doi.org/10.1007/s10714-011-1219-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1219-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- García-Duque Cristian Departamento de Física, Universidad Tecnológica de Pereira, A. A. 97, Pereira, Colombia aut NATIONALLICENCE 700 1- García-Reyes Gonzalo Departamento de Física, Universidad Tecnológica de Pereira, A. A. 97, Pereira, Colombia aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/11(2011-11-01), 3001-3032 0001-7701 43:11<3001 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer