@article{Alharbi2025, 
author = {Wedad A Alharbi and Shahroud Azami and Mehdi Jafari and Abdul Haseeb},
title = {Riemann solitons on perfect fluid within    f  (      r    ,            T              2              )-gravity},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {12},
pages = {30331-30353},
keywords = {f(r, T2)-gravity, conformal Ricci solitons, perfect fluid, concircular vector field, black holes, singularity},
url = {https://www.sciopen.com/article/10.3934/math.20251332},
doi = {10.3934/math.20251332},
abstract = {This work is devoted to the study of Riemann solitons in the setting of the energy-momentum squared gravity framework, expressed as    f  (  r  ,      T    2    ), regarded as a deformation of Einstein's general relativity. Our attention is placed on the particular model    f  (  r  ,      T    2    )  =  r  +  λ      T    2  , coupled with a perfect fluid, where the dynamics naturally admit Riemann solitons. Within the steady formulation of such solitons, we obtain the corresponding fluid relation of state under    f  (  r  ,      T    2    )-gravity. Moreover, by exploiting the solitonic structure, we further analyze the admissibility of energy conditions, the emergence of black hole geometries, and the manifestation of singularities in the presence of a perfect fluid for this modified gravitational scenario.}
}