The Geometry of Black Hole Interiors: Singularities and Cosmic Censorship Conjecture

Seminar in Mathematics

Abstract: The nature of spacetime singularities inside black holes is a fundamental problem in General Relativity, central to Penrose’s Strong Cosmic Censorship Conjecture. While significant progress has been achieved on the stability of black hole exteriors, the interior dynamics and the structure of the resulting singularities remain comparatively unexplored.

In this talk, I will present a resolution of the singularity structure inside dynamical black holes in spherical symmetry. We prove that contrary to classical expectations, the singularity has a hybrid geometric character: a weak null component where the metric extends continuously, and a strong spacelike component where the metric is inextendible. I will discuss why this configuration is conjectured to be generic and provides a new direction within the Strong Cosmic Censorship program.