Application of Hyper-generalized Quasi-Einstein Spacetimes in General Relativity

Abstract

In this paper, we study the hyper-generalized quasi-Einstein (HGQE) warped product spaces with non-positive scalar curvature. This note deals with investigating of some geometric and physical properties of $$(HGQE)_{n}$$ manifolds. Next, we study the general relativistic viscous fluid $$(HGQE)_{4}$$ spacetimes with some physical applications. Lastly, we show the existence of $$(HGQE)_{4}$$ spacetimes by constructing a non-trivial example.