On effects of the null energy condition on spacelike and timelike umbilical hypersurfaces in a class of static spacetimes

21.04. bis 21.04.2022, 14:00-16:00  –  C6H05 Seminar room S09 Tübingen, 2.09.2.22 Campus Golm
Geometric Analysis, Differential Geometry and Relativity

Markus Wolff

We study the effects of the null energy condition on both spacelike and timelike umbilical hypersurfaces in a class of static spacetimes. In the spacelike case, we study umbilical warped product graphs and give a full characterization of embedded surfaces with constant spacetime mean curvature using an Alexandrov Theorem by Brendle. In the timelike case, we achieve a characterization of photon surfaces with constant umbilicity factor similar to a recent result by Cederbaum and Galloway.