Absolute stability limit for relativistic charged spheres |
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Authors: | Alessandro Giuliani Tony Rothman |
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Institution: | (1) Dipartimento di Matematica, Università di RomaTre, Largo San Leonardo Murialdo 1, 00146 Rome, Italy;(2) Department of Physics, Jadwin Hall, Princeton University, P.O.Box 708, Princeton, NJ 08544, USA |
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Abstract: | We find an exact solution for the stability limit of relativistic charged spheres for the case of constant gravitational mass
density and constant charge density. We argue that this provides an absolute stability limit for any relativistic charged
sphere in which the gravitational mass density decreases with radius and the charge density increases with radius. We then
provide a cruder absolute stability limit that applies to any charged sphere with a spherically symmetric mass and charge
distribution. We give numerical results for all cases. In addition, we discuss the example of a neutral sphere surrounded
by a thin, charged shell. |
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Keywords: | Extremal black holes Reissner– Nordstr?m solution Stellar stability Oppenheimer– Volkov equation |
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