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Charged annular disks and Reissner-Nordström type black holes from extremal dust

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Abstract:

We present the first analytical superposition of a charged black hole with an annular disk of extremal dust. In order to obtain the solutions, we first solve the Einstein-Maxwell field equations for sources that represent disk-like configurations of matter in confomastatic spacetimes by assuming a functional dependence among the metric function, the electric potential and an auxiliary function,which is taken as a solution of the Laplace equation. We then employ the Lord Kelvin Inversion Method applied to models of finite extension in order to obtain annular disks. The structures obtained extend to infinity, but their total masses are finite and all the energy conditions are satisfied. Finally, we observe that the extremal Reissner-Nordstr\"{o}m black hole can be embedded into the center of the disks by adding a boundary term in the inversion.

Tópico:

Astrophysical Phenomena and Observations

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Citations: 13
13

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Información de la Fuente:

FuentePhysical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology
Cuartil año de publicaciónNo disponible
Volumen82
Issue8
Páginas084005 - N/A
pISSNNo disponible
ISSN1550-2368

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