We prove that every generalized Cartan hypersurface satisfies the so called Roter type equation. Using this fact, we construct a particular class of generalized Robertson-Walker spacetimes.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-3,
author = {Ryszard Deszcz and Mike Scherfner},
title = {On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces},
journal = {Colloquium Mathematicae},
volume = {107},
year = {2007},
pages = {13-29},
zbl = {1124.53007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-3}
}
Ryszard Deszcz; Mike Scherfner. On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces. Colloquium Mathematicae, Tome 107 (2007) pp. 13-29. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-3/