Jacek Tafel - The Penrose inequality for the perturbed Schwarzschild initial data.
Jurekfest 2019 - day 1, lecture 5.
Speaker: Jacek Tafel (introduction by Jurek Lewandowski).
Title: The Penrose inequality for the perturbed Schwarzschild initial data.
Abstract: We investigate the Penrose inequality E^2 − p^2 ≥ |S_h|/16\pi + 4\pi J^2/|S_h| for the Schwarzschild initial data with a small addition of the axially symmetric exterior curvature. For maximal data the inequality is preserved and it is saturated only for data related to special sections of the Schwarzschild spacetime. For nonmaximal data we prove the inequality in generic case.
Slides: http://jurekfest.fuw.edu.pl/slides/ta...
Link to conference's webpage: http://jurekfest.fuw.edu.pl/.