In this paper, we discuss about a set of geometric and physical properties of hyper-generalized quasi-Einstein spacetime. In the beginning, we discuss about pseudosymmetry over a hyper-generalized quasi-Einstein spacetime. Here, we discuss about W2-Ricci pseudosymmetry, Z-Ricci pseudosymmetry, Ricci pseudosymmetry and projective Ricci pseudosymmetry over a hyper-generalized quasi-Einstein spacetime. Later on, we take over Ricci symmetric hyper-generalized quasi-Einstein spacetime and derive a set of important geometric and physical theorems over it. Moving further we consider some physical applications of the hyper-generalized quasi-Einstein spacetime. Last, we prove the existence of a hyper-generalized quasi-Einstein spacetime by constructing a non-trivial example.

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超广义准爱因斯坦时空的一些几何和物理性质研究

在本文中，我们讨论了一组超广义准爱因斯坦时空的几何和物理性质。一开始，我们讨论了超广义准爱因斯坦时空上的伪对称性。在这里，我们讨论一下W2-Ricci 伪对称，Z- 超广义准爱因斯坦时空中的里奇伪对称、里奇伪对称和射影里奇伪对称。后来，我们接管了 Ricci 对称超广义准爱因斯坦时空，并在其上推导出一组重要的几何和物理定理。进一步我们考虑超广义准爱因斯坦时空的一些物理应用。最后，我们通过构造一个非平凡的例子证明了超广义准爱因斯坦时空的存在。