Abstract
Electrically counterpoised dust (ECD) is incoherent electrically charged matter in which the charge density is equal to the mass density in relativistic units. Einstein's equations admit static solutions modelling bodies of arbitrary shape composed of ECD. In this paper I present a model of a non-singular prolate spheroid of ECD, and consider its size and mass in relation to the hoop conjecture and to the isoperimetric conjecture for black holes. The conclusion is that it satisfies the hoop conjecture, but, for any given mass, the surface area can be arbitrarily small.
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