Cosmological Meaning of Geometric Curvatures

2019/11/13 by Vesić, Nenad O.
#47B15 #53A45 #53B05 #53B50 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #I.1.0

paper · doi:10.48550/arxiv.1911.05518

Abstract

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.

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