Sufficient condition for Blackhole formation in spherical gravitational collapse

TL;DR

This paper establishes a sufficient condition for cosmic censorship in spherical gravitational collapse, based on properties of the apparent horizon and physical reasonableness of matter models.

Contribution

It formulates and proves a sufficient condition for black hole formation in spherical collapse, linking horizon properties with matter model assumptions.

Findings

Sufficient condition for black hole formation established

Condition relies on apparent horizon properties

Applicable under physically reasonable matter models

Abstract

A sufficient condition for the validity of Cosmic Censorship in spherical gravitational collapse is formulated and proved. The condition relies on an attractive mathematical property of the apparent horizon, which holds if ''minimal'' requirements of physical reasonableness are satisfied by the matter model.