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Title of Journal: Gen Relativ Gravit

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Abbravation: General Relativity and Gravitation

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Springer US

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DOI

10.1016/0921-5093(94)90418-9

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1572-9532

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Absolute stability limit for relativistic charged

Authors: Alessandro Giuliani Tony Rothman
Publish Date: 2007/11/20
Volume: 40, Issue: 7, Pages: 1427-1447
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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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