Null Hypersurfaces and the Penrose Inequality for a Perturbed Schwarzschild Black Hole

Explore a 39-minute conference talk by Pengyu Le from the University of Michigan on "Null hypersurfaces and the Penrose inequality for a perturbed Schwarzschild black hole." Delve into the renowned Penrose inequality in General Relativity, proposed by Penrose in 1973, which conjectures a relation between spacetime's total mass and a black hole's area. Discover the significance of this inequality in addressing crucial GR problems, including black hole evolution and the weak cosmic censorship conjecture. Learn about major breakthroughs in proving the Riemannian Penrose inequality and examine Le's work on confirming the null Penrose inequality for perturbed Schwarzschild black holes. Gain insights into the study of null hypersurface perturbations and their role in this research. Presented at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation on October 25, 2021.