Annachiara Piubello | Estimates on the Bartnik mass and their geometric implications скачать в хорошем качестве

Annachiara Piubello | Estimates on the Bartnik mass and their geometric implications

General Relativity Workshop 5/2/2022 Speaker: Annachiara Piubello Title: Estimates on the Bartnik mass and their geometric implications Abstract: In this talk, we will discuss some recent estimates on the Bartnik mass for data with non-negative Gauss curvature and positive mean curvature. In particular, if the metric is round the estimate reduces to an estimate found by Miao and if the total mean curvature approaches 0, the estimate tends to 1/2 the area radius, which is the bound found by Mantoulidis and Schoen in the blackhole horizon case. We will then discuss some geometric implications. This is joint work with Pengzi Miao.