Charged Annular Disks and Reissner-Nordström Type Black Holes from Extremal Dust

Details Charged Annular Disks and Reissner-Nordström Type Black Holes from Extremal Dust Charged Annular Disks and Reissner-Nordström Type Black Holes from Extremal Dust

2010-09-06

arxiv.org/abs/1009.1005v2

Phys.Rev.D82:084005,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 revtex pages, 8 eps figures

Scientific paper

10.1103/PhysRevD.82.084005

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.

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