Abstract
A new family of exact solutions of the Einstein-Maxwell equations is presented, which describes an infinitely axially symmetric thin disk surrounded by a spheroidal halo with magnetic field. The models are obtained from axisymmetric solutions of Einstein-Maxwell equations for conformastatic spacetimes in which the metric and the magnetic potential present a discontinuity in its normal first derivative through a thin disk. The energy-momentum tensor and the current density are found and expressed in terms of the magnetic potential and the metric function and the system satisfies all the energy conditions and the total mass it is finite. Finally, we consider a particular case of Kuzmin-Toomre disks, by showing the behavior of the four-vector current and energy density profile for the halo as well as for disk.
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Ballén-Daza, D., González, G., Gutiérrez-Piñeres, A. (2014). Relativistic Dust Thin Disks with Halo and Magnetic Field. In: Moreno González, C., Madriz Aguilar, J., Reyes Barrera, L. (eds) Accelerated Cosmic Expansion. Astrophysics and Space Science Proceedings, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-319-02063-1_14
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DOI: https://doi.org/10.1007/978-3-319-02063-1_14
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