Ponente
Descripción
A family of relativistic models of thin disks and spheroidal haloes with magnetically
polarized material source it is presented. The models are built using exact solutions of the
Einstein-Maxwell equations for a conformastatic and axially symmetric spacetime, by
assuming that the material content of the halo is described by a non-dissipative anisotropic
fluid and that the magnetic polarization it is proportional to the magnetic field. The solutions
are obtained by expressing the metric function in terms of an auxiliary function which
satisfies the Laplace equation, a characteristic property of the conformastatic spacetimes, and
by using the displace, cut, and reflect method, which introduces a discontinuity in the first zderivative of the metric tensor across the plane of the disk. Once a solution to the system of
equations is obtained, not only the solution of the Einstein-Maxwell equations but also the
energy-momentum tensor is completely determined, which describes the matter content of
the halo and the disks, as well as the variables associated with the magnetic field and the
magnetic polarization. The energy densities of the disk and the halo are everywhere positive
and well behaved, and their energy-momentum tensor agrees with all the energy conditions.
| Nivel de formación | Pregrado |
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