@article{Azami2024, 
author = {Shahroud Azami and Mehdi Jafari and Nargis Jamal and Abdul Haseeb},
title = {Hyperbolic Ricci solitons on perfect fluid spacetimes},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {18929-18943},
keywords = {perfect fluid spacetimes, hyperbolic Ricci solitons, Einstein manifolds},
url = {https://www.sciopen.com/article/10.3934/math.2024921},
doi = {10.3934/math.2024921},
abstract = {In the present paper, we investigate perfect fluid spacetimes and perfect fluid generalized Roberston-Walker spacetimes that contain a torse-forming vector field satisfying almost hyperbolic Ricci solitons. We show that the perfect fluid spacetimes that contain a torse-forming vector field satisfy an almost hyperbolic Ricci soliton, and we prove that a perfect fluid generalized Roberston-Walker spacetime satisfying an almost hyperbolic Ricci soliton    (  g  ,  ζ  ,  ϱ  ,  μ  ) is an Einstein manifold. Also, we study an almost hyperbolic Ricci soliton    (  g  ,  V  ,  ϱ  ,  μ  ) on these spacetimes when    V is a conformal vector field, a torse-forming vector field, or a Ricci bi-conformal vector field.}
}