On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces
Volume 109 / 2007
                    
                    
                        Colloquium Mathematicum 109 (2007), 13-29                    
                                        
                        MSC: Primary 53B20, 53B25; Secondary 53C25.                    
                                        
                        DOI: 10.4064/cm109-1-3                    
                                    
                                                Abstract
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.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            