Generalized Riemannian Spaces With Respect to 4-Velocity Vectors and Functions of State Parameters

Abstract

We pointed to 4-dimensional generalized Riemannian spaces important for applications in some parts of physics here. Complete metric tensors and its possibilities to be applied in cosmology are analyzed in this paper. We used the results of N. O. Vesić, presented in [14]. At the end of the paper, we studied the diagonal symmetric metric tensor in the cosmological context.