Abstract

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 [Formula: see text]-Ricci pseudosymmetry, [Formula: see text]-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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