Geodesic
Generalized Riemannian spaces with respect to 4-velocity vectors and functions of state parameters
Filomat, Tome 35 (2021) no. 5, p. 1519

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DOI

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.
DOI : 10.2298/FIL2105519V
Classification : 53A45, 83F05, 35A08, 83C65
Keywords: generalized Riemannian space, non-symmetric metric tensor, energy-momentum tensor, pressure, energy-density, parameter of state function 
Nenad O Vesić; Dragoljub D Dimitrijević; Dušan J Simjanović. Generalized Riemannian spaces with respect to 4-velocity vectors and functions of state parameters. Filomat, Tome 35 (2021) no. 5, p. 1519 . doi: 10.2298/FIL2105519V
@article{10_2298_FIL2105519V,
     author = {Nenad O Vesi\'c and Dragoljub D Dimitrijevi\'c and Du\v{s}an J Simjanovi\'c},
     title = {Generalized {Riemannian} spaces with respect to 4-velocity vectors and functions of state parameters},
     journal = {Filomat},
     pages = {1519 },
     year = {2021},
     volume = {35},
     number = {5},
     doi = {10.2298/FIL2105519V},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2105519V/}
}
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