How minimal hypersurface and MOTS singularities affect relativity theorems
Rick Schoen (University of California, Irvine)
Abstract: Some theorems in relativity work directly only in low dimensions because of the possibility of singularities in area minimizing hypersurfaces and MOTS. These include both Riemannian and spacetime positive mass theorems as well as the Riemannian Penrose inequality. In some cases the singularities are relatively easy to work around and in others they present significant problems to overcome. This will be a general lecture which will attempt to give perspective and more clarity to this issue.
general relativity and quantum cosmologymathematical physicsanalysis of PDEsdifferential geometry
Audience: researchers in the topic
( video )
JoMaReC - Joint Online Mathematical Relativity Colloquium
Series comments: This monthly online colloquium is meant to be accessible to and informative for mathematicians and mathematical physicists with a background in General Relativity, widely interpreted to include Lorentzian Geometry, and Geometric Analysis of various Partial Differential Equations related to General Relativity.
It is aimed to present motivation and applications of particular results and/or introduce specific subfields, while refraining from too much technicalities.
| Organizers: | Annegret Burtscher*, Carla Cederbaum, Grigorios Fournodavlos, Edgar Gasperin, Jan Metzger, Anna Sakovich |
| *contact for this listing |