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arXiv · 1903.10530

Upper bound on the gravitational masses of stable spatially regular charged compact objects

Shahar Hod
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Abstract

In a very interesting paper, Andréasson has recently proved that the gravitational mass of a spherically symmetric compact object of radius $R$ and electric charge $Q$ is bounded from above by the relation $\sqrt{M}\leq{\sqrt{R}\over{3}}+\sqrt{{{R}\over{9}}+{{Q^2}\over{3R}}}$. In the present paper we prove that, in the dimensionless regime ${{Q}/{M}}<\sqrt{9/8}$, a stronger upper bound can be derived on the masses of physically realistic ({\it stable}) self-gravitating horizonless compact objects: $M<{{R}\over{3}}+{{2Q^2}\over{3R}}$.

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Shahar Hod. 2019-03-25. Upper bound on the gravitational masses of stable spatially regular charged compact objects. https://doi.org/10.1103/physrevd.98.064014

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