Almost Ricci–Bourguignon Solitons on Doubly Warped Product Manifolds

Abstract

This study aims at examining the effects of an almost Ricci–Bourguignon soliton structure on the base and fiber factor manifolds of a doubly warped product manifold. First, a number of preconditions and sufficiency criteria for an almost Ricci–Bourguignon soliton doubly warped product are addressed. Additionally, an almost Ricci–Bourguignon soliton on doubly warped product manifolds admitting a conformal vector field is taken into consideration. Finally, how the almost Ricci–Bourguignon soliton behaves in doubly warped product space–times is examined.

Keywords

• Einstein manifolds
• Einstein soliton
• almost Ricci–Bourguignon soliton
• doubly warped product manifolds