The Strong Cosmic Censorship Conjecture

TL;DR

This paper reviews recent mathematical advances in understanding the Strong Cosmic Censorship conjecture, which concerns the deterministic nature of general relativity and the behavior of singularities in gravitational collapse.

Contribution

It synthesizes modern PDE techniques applied to the conjecture, highlighting new insights into black holes and gravitational singularities.

Findings

Recent PDE methods shed light on the conjecture's validity.

Connections established between cosmic censorship and black hole stability.

Progress made in understanding gravitational collapse scenarios.

Abstract

In the wake of major breakthroughs in General Relativity during the 1960s, Roger Penrose introduced Strong Cosmic Censorship, a profound conjecture regarding the deterministic nature of the theory. Penrose's proposal has since opened far-reaching new mathematical avenues, revealing connections to fundamental questions about black holes and the nature of gravitational singularities. We review recent advances arising from modern techniques in the theory of partial differential equations as applied to Strong Cosmic Censorship, maintaining a focus on the context of gravitational collapse that gave birth to the conjecture.