Weyl entropy behaviour and 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.

Based on presentation to be given at the 32nd meeting of the Indian Association for General Relativity and Gravitation, IISER Kolkata