The impact of the eccentricity on the collapse of an ellipsoid into a black hole

Abstract

We consider the gravitational collapse of a homogeneous pressureless ellipsoid. We have shown that the minimal size $r$ that the ellipsoid can reach during collapse depends on its initial eccentricity $e_0$ as $r\propto e_0^{\nu }$, where $\nu \approx 15/8$, and this dependence is very universal. We have estimated the parameters (in particular, the initial eccentricity) of a homogeneous pressureless ellipsoid, whereat it collapses directly into a black hole.

4 pages, 2 figures

References in corpus (2)

• Dark matter annihilation in the gravitational field of a black hole
• Primordial Black Hole formation from overlapping cosmological fluctuations