TL;DR
This paper proves that relativistic charged balls with charge less than mass cannot form stable, non-singular static configurations near their horizon size under certain physical assumptions.
Contribution
It establishes a general no-go theorem for static, non-singular charged fluid spheres in relativity, independent of charge distribution and equation of state.
Findings
Charged balls with charge less than mass cannot be static and non-singular near horizon size.
The proof relies on assumptions of perfect fluid and non-negative energy density.
The result is independent of charge distribution details.
Abstract
It is proven that the relativistic charged ball with its charge less than its mass (in natural units) cannot have a non-singular static configuration while its radius approaches its external horizon size. This conclusion does not depend on the details of charge distribution and the equation of state. The involved assumptions are (1) the ball is made of perfect fluid, (2) the energy density is everywhere non-negative.
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