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/