Absolute Stability Limit for Relativistic Charged Spheres

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.

25 pages, 1 figure 1 June 07: Replaced with added citations to prior work along same lines

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• Charged Anisotropic Models with Complexity-free Condition
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• The Stability of a Shearing Viscous Star with Electromagnetic Field
• Anisotropic generalization of Buchdahl bound for specific stellar models
• Charged anisotropic compact objects obeying Karmarkar condition
• Universality of the Buchdahl sphere
• Limits on the mass of compact objects in Hořava-Lifshitz gravity
• Vanishing Compactness Gap and Fermionic Compact Dark Matter in Hořava-Lifshitz Gravity