This paper aims to introduce the spacetimes admitting the Z-symmetric tensor. We investigate the properties of these spacetimes for a perfect fluid and a pressureless perfect fluid (a dust). Some theorems about the properties are proved.

中文翻译：

---

允许 Z 对称张量的时空

本文旨在介绍允许Z对称张量的时空。我们研究了完美流体和无压完美流体（尘埃）的这些时空的特性。证明了有关性质的一些定理。