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arXiv · 2010.01744

Spherically symmetric linear perturbations of electrically counterpoised dust

Andrés Aceña·Ivan Gentile de Austria
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Abstract

We consider spherically symmetric linear perturbations of static spherically symmetric spacetimes where the matter content is ellectrically counterpoised dust. We show that the evolution equation for the fluid perturbation implies that the fluid elements move with constant velocities. Therefore there are neither oscillations nor exponential departure from the background solution. We present an explicit example that shows that the perturbation could lead to the formation of a black hole.

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Andrés Aceña, Ivan Gentile de Austria. 2020-10-05. Spherically symmetric linear perturbations of electrically counterpoised dust. https://arxiv.org/abs/2010.01744

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