Charged annular disks and Reissner-Nordstro¨m type black holes from extremal dust
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2010-10-06
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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 disklike 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 ReissnerNordstro¨m black hole can be embedded into the center of the disks by adding a boundary term in the
inversion.
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