Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605847 | Differential Geometry and its Applications | 2015 | 16 Pages |
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–Nordström and Schwarzschild exterior spacetimes.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Manuel Gutiérrez, Benjamín Olea,