Geometric Perspective of Relativistic Bulk Viscous Fluid String Spacetime

The goal of the article is to examine the behavior of bulk viscous fluid string spacetime with a fluid density of the bulk viscous fluid string ρ and a tension of the bulk viscous fluid string λ. This is known as relativistic bulk viscous fluid string spacetime. We derive some conclusions for bulk viscous fluid string with a vanishing space–matter tensor and a divergence-free matter tensor. We then focus on certain curvature properties for bulk viscous fluid string spacetime, including conformally flat, Ricci recurrent, Ricci semi-symmetric, and pseudo-Ricci-symmetric. Some physical results that align with the equation of state of Ricci semi-symmetric bulk viscous fluid string spacetime are also obtained.