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Asymptotic geometry of null hypersurface in Schwarzschild spacetime and null Penrose inequality
November 3, 2022 @ 10:30 am - 11:30 am
General Relativity Seminar
Speaker: Pengyu Le (BIMSA)
Title: Asymptotic geometry of null hypersurface in Schwarzschild spacetime and null Penrose inequality
Abstract: Null Penrose inequality is an important case of the well-known Penrose inequality on a null hypersurface. It conjectures the relation between the area of the outmost marginally trapped surface and the Bondi mass at null infinity. Following the proposal of Christodoulou and Sauter, we employ the perturbation method to study the asymptotic geometry of null hypersurfaces at null infinity in a perturbed vacuum Schwarzshild spacetime. We explain how to apply this perturbation theory to prove null Penrose inequality on a nearly spherically symmetric null hypersurface in a perturbed vacuum Schwarzschild spacetime.