Spherically symmetric linear perturbations of electrically counterpoised dust

Abstract:

We consider spherically symmetric linear perturbations of static spherically symmetric spacetimes where the matter content is electrically 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 showing that the perturbation could lead to the formation of a black hole.

Año de publicación:

2021

Keywords:

• Static spherically symmetric spacetimes
• Linear perturbations
• Electrically counterpoised dust

Fuente:

scopus