FM: 2007-07; [gr-qc] arXiv:0705.4452

Authors : Alessandro Giuliani and Tony Rothman

Title: 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.

Keywords: Charged relativistic spheres; gravitational collapse; classical black holes.

Alessandro Giuliani,
Dipartimento di Matematica, Universita' di Roma Tre, L.go S. Leonardo Murialdo 1, 00146 Roma, Italy
giuliani@princeton.edu

Tony Rothman
Department of Physics, Princeton University, Princeton 08544 NJ, USA
trothman@princeton.edu