  In this paper, we analyzed the physical meaning of scalar curvatures for a
generalized Riemannian space. It is developed the Madsen's formulae for
pressures and energy-densities with respect to the corresponding
energy-momentum tensors. After that, the energy-momentum tensors, pressures,
energy-densities and state-parameters are analyzed with respect to different
concepts of generalized Riemannian spaces. At the end of this paper,
linearities of the energy-momentum tensor, pressure, energy-density and the
state-parameter are examined.
