You are here

Workshop on Mean Curvature and Regularity

Locating Minimal Surfaces in Geometrostatic Manifolds

Abstract:  In 1963 Brill and Lindquist asked where one might find the apparent horizons of charged black holes in geometrostatic manifolds that arise as time symmetric solutions to vacuum Einstein Maxwell constraint equations.  These manifolds are asymptotically flat with nonnegative scalar curvature and the apparent horizons are minimal surfaces.  In joint work with Iva Stavrov, we locate these minimal surfaces where the black holes are sufficiently far apart relative to their respective masses. Upcoming joint work with Shubham Dwivedi, Rohit Jain, and Tobias Schmid concerning the setting with one massive black hole surrounded by smaller ones will be announced. I will also mention work of Iva Stavrov with Noah Benjamin and Tatyana Benko

Featuring

Christina Sormani

Speaker Affiliation

CUNY Graduate Center and Lehman College; Member, School of Mathematics

Affiliation

Mathematics

Event Series

Video

https://video.ias.edu/WMCR/2018/1108-ChristinaSormani
Date & Time
November 08, 2018 | 10:0011:00am

Location

Simonyi Hall 101

Categories