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Friday, April 16, 2021
3:00 PM - 4:00 PM
Online Event

Geometry and Topology Seminar

Existence of static vacuum extensions
Lan-Hsuan Huang, Department of Mathematics, University of Connecticut,

The study of static vacuum Riemannian metrics arises naturally in general relativity and differential geometry. A static vacuum metric produces a static spacetime by a warped product, and it is related to scalar curvature deformation and gluing. The well-known Uniqueness Theorem of Static Black Holes says that an asymptotically flat, static vacuum metric with black hole boundary must belong to the Schwarzschild family. In contrast to the rigidity phenomenon, R. Bartnik conjectured that there are asymptotically flat, static vacuum metric realizing certain arbitrarily specified boundary data. I will discuss recent progress toward this conjecture. It is based on joint work with Zhongshan An.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu or visit https://sites.google.com/site/caltechgtseminar/home.