Work

On effects of the null energy condition on totally umbilic hypersurfaces in a class of static spacetimes

Year: 2024

Type: article

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

Source: Annals of Global Analysis and Geometry

DOI: 10.1007/s10455-024-09969-6

Author: Markus Wolff

Institution: University of Tübingen

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Eberhard Karls Universität Tübingen