A study of mixed generalized quasi-Einstein spacetimes with applications in general relativity

In the present paper we study Ricci pseudo-symmetry, Z-Ricci pseudo-symmetry and concircularly pseudo-symmetry conditions on a mixed generalized quasi-Einstein spacetime $MG(QE{)}_4$. Also, it is proven that if $d\ne \Lambda$, then $MG(QE{)}_4$ spacetime does not admit heat flux, where $d$ and $\Lambda$ are the function and the cosmological constant, respectively. In the end of this paper we construct a non-trivial example of $MG(QE{)}_4$ to prove its existence.