https://doi.org/10.1140/epjc/s10052-025-15169-8
Regular Article - Theoretical Physics
Hyperbolic conformal Ricci solitons and gradient hyperbolic conformal Ricci solitons on bulk viscous fluid string spacetime
1
Department of Mathematics College of Science, Jazan University, P. O. Box 277, 45142, Jazan, Saudi Arabia
2
Department of Mathematics, College of Science, Taif University, 21944, Taif, Saudi Arabia
3
Department of Mathematics and Statistics College of Science, Imam Mohammad Ibn Saud Islamic University, P. O. Box-65892, 11566, Riyadh, Saudi Arabia
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
12
September
2025
Accepted:
3
December
2025
Published online:
3
January
2026
Abstract
We explore the Geometrization of hyperbolic conformal Ricci solitons and examine the properties of bulk viscous fluid string spacetime in conjunction with the hyperbolic conformal Ricci solitons in this research note. A 
-vector field and a Ricci bi-conformal vector field that admits the hyperbolic conformal Ricci solitons were also used to interact with the bulk viscous fluid string spacetime. It is proven that the bulk viscous fluid string spacetime admits the hyperbolic conformal Ricci solitons with a proper -vector field, and the bulk viscous fluid string spacetime holds Ricci collineation, then the spacetime is an Einstein manifold, and hyperbolic conformal Ricci soliton is identified as a conformal Ricci soliton. Additionally, using a scalar concircular field, we study the gradient hyperbolic conformal Ricci solitons in bulk viscous fluid string spacetime and talk about the gradient hyperbolic conformal Ricci solitons’ rate of change. Finally, using a scalar concircular field and a gradient hyperbolic conformal Ricci solitons, we calculated the energy conditions for a bulk viscous fluid string spacetime.
Amira A. Ishan and Meraj Ali Khan have contributed equally to this work.
© The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
