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Cosmological Meaning of Geometric Curvatures

Differential Geometry 2020-02-18 v6 Functional Analysis

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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Cite

@article{arxiv.1911.05518,
  title  = {Cosmological Meaning of Geometric Curvatures},
  author = {Nenad O. Vesić},
  journal= {arXiv preprint arXiv:1911.05518},
  year   = {2020}
}

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17 pages, 0 figures, manuscript