On sequential warped product η-Ricci-Bourguignon solitons

Abstract

We investigate η-Ricci-Bourguignon solitons structure on sequential warped product manifolds. Moreover, we prove that an η-Ricci-Bourguignon soliton sequential warped manifold whose potential vector field is Killing or conformal must be a quasi-Einstein manifold. Finally, we deduce two applications of η-Ricci-Bourguignon solitons sequential warped product namely standard static space-times and generalized Robertson-Walker space-times