
arXiv: 1911.05518
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.
Mathematics - Differential Geometry, Applications of local differential geometry to the sciences, I.1.0, matter, Functional Analysis (math.FA), Applications of differential geometry to physics, Mathematics - Functional Analysis, pressure, Differential geometric aspects in vector and tensor analysis, 53B50, 47B15, 53A45, 53B05, Differential Geometry (math.DG), energy-momentum tensor, curvature, FOS: Mathematics, Hermitian and normal operators (spectral measures, functional calculus, etc.), Linear and affine connections, Lagrangian, energy-density
Mathematics - Differential Geometry, Applications of local differential geometry to the sciences, I.1.0, matter, Functional Analysis (math.FA), Applications of differential geometry to physics, Mathematics - Functional Analysis, pressure, Differential geometric aspects in vector and tensor analysis, 53B50, 47B15, 53A45, 53B05, Differential Geometry (math.DG), energy-momentum tensor, curvature, FOS: Mathematics, Hermitian and normal operators (spectral measures, functional calculus, etc.), Linear and affine connections, Lagrangian, energy-density
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