On gradient normalized Ricci-harmonic solitons in sequential warped products

Abstract

Our investigation involved sequentially warped product manifolds that contained gradient-normalized Ricci-harmonic solitons. We presented the primary connections for a gradient-normalized Ricci-harmonic soliton on sequential warped product manifolds. In practical applications, our research investigated gradient-normalized Ricci-harmonic solitons for sequential generalized Robertson-Walker spacetimes and sequential standard static space-times. Our finding generalized all results proven in [26].

Keywords

• gradient normalized ricci-harmonic soliton
• sequential warped product
• sequentially generalized robertson-walker space-time
• sequential standard static space-time