Absolute Stability Limit for Relativistic Charged Spheres

Details Absolute Stability Limit for Relativistic Charged Spheres Absolute Stability Limit for Relativistic Charged Spheres

2007-05-30

arxiv.org/abs/0705.4452v2

Gen.Rel.Grav.40:1427-1447,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1007/s10714-007-0539-7

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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