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- Title
Absolute stability limit for relativistic charged spheres.
- Authors
Alessandro Giuliani; Tony Rothman
- Abstract
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.
- Subjects
DENSITY; RELATIVISTIC astrophysics; SPHERES; SYMMETRIC matrices
- Publication
General Relativity & Gravitation, 2008, Vol 40, Issue 7, p1427
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-007-0539-7