Certain Restrictions of Energy–Momentum Tensor in Bulk Viscous Fluid String Spacetimes

The aim of this paper is to characterize a relativistic bulk viscous fluid string spacetime whose energy–momentum tensor satisfying certain geometric symmetries. At first, it is shown that a relativistic bulk viscous fluid string spacetime is a generalized quasi-Einstein manifold. Then, we characterize such a spacetime, satisfying Codazzi type of energy–momentum tensor (denoted by T⊘), covariant constant T⊘, recurrent and generalized recurrent T⊘, and almost pseudo-symmetric and weakly symmetric T⊘, respectively. Next, we consider quadratic Killing T⊘ in such a spacetime. Finally, we provide a concrete example using partial differential equations.