Abstract
Using the well-known “displace, cut and reflect” method we construct thin disks made of a perfect fluid in presence of a magnetic field. The models are based in a magnetic Reissner-Nordstrom metric of Einstein-Maxwell equations for a conformastatic spacetime. The influence of the magnetic field on the matter properties of the disk are analyzed. We also study the motion of charged test particles around the disks. We construct models of perfect fluid disks satisfying all the energy conditions.
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Acknowledgments
G. G. R. wants to thank the warm hospitality of to Departamento de Gravitación y Teorías de Campos (ICN-UNAM), where this work was completed. He also wants to thank to A. C. Gutiérrez-Piñeres for useful comments and discussions.
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García-Reyes, G., Espitia, O.A. Exact relativistic models of perfect fluid disks in a magnetic field. Gen Relativ Gravit 46, 1674 (2014). https://doi.org/10.1007/s10714-014-1674-6
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DOI: https://doi.org/10.1007/s10714-014-1674-6