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- W3100359061 abstract "In a recent paper by Giuliani and Rothman [17], the problem of finding a lower bound on the radius R of a charged sphere with mass M and charge Q < M is addressed. Such a bound is referred to as the critical stability radius. Equivalently, it can be formulated as the problem of finding an upper bound on M for given radius and charge. This problem has resulted in a number of papers in recent years but neither a transparent nor a general inequality similar to the case without charge, i.e., M ≤ 4R/9, has been found. In this paper we derive the surprisingly transparent inequality $$sqrt{M}leqfrac{sqrt{R}}{3}+sqrt{frac{R}{9}+frac{Q^2}{3R}}.$$ The inequality is shown to hold for any solution which satisfies p + 2pT ≤ ρ, where p ≥ 0 and pT are the radial- and tangential pressures respectively and ρ ≥ 0 is the energy density. In addition we show that the inequality is sharp, in particular we show that sharpness is attained by infinitely thin shell solutions." @default.
- W3100359061 created "2020-11-23" @default.
- W3100359061 creator A5027817929 @default.
- W3100359061 date "2008-11-27" @default.
- W3100359061 modified "2023-10-16" @default.
- W3100359061 title "Sharp Bounds on the Critical Stability Radius for Relativistic Charged Spheres" @default.
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- W3100359061 doi "https://doi.org/10.1007/s00220-008-0690-3" @default.
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