Yamabe solitons on normalized null hypersurfaces of GRW spacetimes

Abstract

We investigate the geometric structures of a null hypersurface within a generalized Robertson-Walker (GRW) spacetime and derive results establishing a correspondence between the geometric properties of the null hypersurface and those of the fiber. Furthermore, we establish lower bounds for the Ricci tensor and scalar curvature of a normalized null hypersurface of a GRW spacetime satisfying the Null Convergence Condition. Finally, we study Yamabe solitons on the normalized null hypersurface of a GRW spacetime.