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

Abstract

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\neq \varLambda $, then $ MG(QE)_{4} $ spacetime does not admit heat flux, where $ d $ and $ \varLambda $ 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.

Keywords

• quasi-einstein manifolds
• mixed generalized quasi-einstein manifolds
• einstein's field equation
• heat flux