Totally umbilic null hypersurfaces in generalized Robertson-Walker spaces
Differential Geometry
2017-08-01 v1
Abstract
We show that there is a correspondence between totally umbilic null hypersurfaces in generalized Robertson-Walker spaces and twisted decompositions of the fibre. This allows us to prove that nullcones are the unique totally umbilic null hypersurfaces in the closed Friedmann Cosmological model. We also apply this kind of ideas to static spaces, in particular to Reissner-Nordstr\"{o}m and Schwarzschild exterior spacetimes.
Keywords
Cite
@article{arxiv.1707.09844,
title = {Totally umbilic null hypersurfaces in generalized Robertson-Walker spaces},
author = {Manuel Gutiérrez and Benjamín Olea},
journal= {arXiv preprint arXiv:1707.09844},
year = {2017}
}