@article{Haseeb2026, 
author = {Abdul Haseeb and Sudhakar Kumar Chaubey and Fatemah Mofarreh},
title = {L  P-Kenmotsu manifolds admitting almost    ∗-Ricci-Bourguignon solitons and gradient almost    ∗-Ricci-Bourguignon solitons},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {6},
pages = {15831-15850},
keywords = {almost ∗-Ricci-Bourguignon solitons, gradient almost ∗-Ricci-Bourguignon solitons, LP-Kenmotsu manifolds, screened Poisson equation},
url = {https://www.sciopen.com/article/10.3934/math.2026652},
doi = {10.3934/math.2026652},
abstract = {In this work, a solitonic study of    L  P-Kenmotsu    n-manifolds (in brief    (  L  P  K      )    n  ) was performed. Key properties of almost    ∗-RBSs are established, thus generalizing some of the known results. Additionally, we examine gradient almost    ∗-RBSs, thereby deriving conditions for the realization of the soliton structure. These results provide new insights into the theory of Ricci-Bourguignon solitons and geometric flows in semi-Riemannian manifolds. It is proven that an    (  L  P  K      )    n   that admits an almost    ∗-RBSs or a gradient almost    ∗-RBSs is a generalized    ω-Einstein spacetime. Moreover, under certain assumptions, an    (  L  P  K      )    n   that admits an almost    ∗-RBSs or a gradient almost    ∗-RBSs is a perfect fluid spacetime.}
}