Research

My research is currently focused on the stability and instability of black holes in general relativity. More precisely, I study gravitational perturbations of the interior region of rotating black holes, in the setting of Einstein's vacuum equations of general relativity. These perturbations propagate inside the black hole satisfying hyperbolic-type equations, that I study using tools from PDE theory, Lorentzian and Riemannian geometry and functional analysis. In link with Penrose's Strong Cosmic Censorship conjecture, I am particularly interested in the behavior of these perturbations near the Cauchy horizon inside rotating black holes.