Weyl entropy behaviour and Naked Singularities

TL;DR

This paper investigates the potential of Weyl entropy as an indicator for the cosmic censorship hypothesis by analyzing naked singularities in specific spacetime models.

Contribution

It explores the relationship between Weyl entropy and naked singularities, proposing Weyl entropy as a possible criterion for cosmic censorship.

Findings

Weyl entropy correlates with the presence of naked singularities

Examples include Vaidya and Tolman-Bondi spacetimes in various backgrounds

Weyl entropy may serve as an indicator to prevent naked singularities

Abstract

In order to show that there exists a relation between the validity of the Weyl entropy and the cosmic censorship hypothesis, we discuss the relation between naked singularities and the gravitational entropy estimator using the Weyl invariant. We look at the examples of Vaidya and Tolman-Bondi spacetimes in asymptotically flat and de Sitter spacetime and look at Weyl entropy as a possible indicator of the prohibition of naked singularities.