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BIMSA General Relativity Seminar
Constant Mass Aspect Function Foliation in Perturbed Schwarzschild Spacetime
Constant Mass Aspect Function Foliation in Perturbed Schwarzschild Spacetime
Organizers
Speaker
Time
Monday, December 2, 2024 3:30 PM - 5:00 PM
Venue
A3-2-301
Online
Zoom 559 700 6085
(BIMSA)
Abstract
The constant mass function foliation has been shown useful for studying the null Penrose inequality on a null hypersurface, because of the monotonicity formula of Hawking mass along such a foliation. We present the global existence theorem of the constant mass aspect function foliation on a nearly spherically symmetric incoming null hypersurface, emanating from a spacelike surface near the apparent horizon to the past null infinity in a vacuum perturbed Schwarzschild spacetime. We shall also discuss the geometry of the foliation, by comparing with the spherically symmetric foliation in the Schwarzschild spacetime.
Speaker Intro
Dr. Pengyu Le graduated from ETH Zürich in 2018, then became a Van Loo postdoctoral fellow in University of Michigan. He joined BIMSA as an assistant professor in 2021. His research interest lies in differential geometry and general relativity.