Geodesic
Perfect fluid spacetimes obeying certain restrictions on the energy-momentum tensor
Filomat, Tome 37 (2023) no. 11, p. 3483

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DOI

This paper is concerned with the study of a perfect fluid spacetime endowed with the various forms of the energy-momentum tensor T. We establish that a perfect fluid spacetime endowed with covariant constant energy-momentum tensor represents a dark matter era or the matter content is a perfect fluid spacetime with vanishing vorticity; whereas a perfect fluid spacetime endowed with Codazzi type of T represents a dark matter era or the expansion scalar vanishes, provided α 1 remains invariant under the velocity vector field ρ. Also, we show that a perfect fluid spacetime with pseudo-symmetric energy-momentum tensor represents a dark matter era or a phantom era, provided the velocity vector field annihilates the curvature tensor. Moreover, we characterize T-recurrent and weakly-T symmetric perfect fluid spacetimes with Killing velocity vector field and acquired that the perfect fluid spacetimes represent a radiation era in the first case and a stiff matter for the last one.
DOI : 10.2298/FIL2311483D
Classification : 83C05, 53C35, 53C50
Keywords: Perfect fluid spacetimes, Energy-momentum tensor, Codazzi type tensor, Weakly-T symmetric spacetimes, T-recurrent spacetimes 
Krishnendu De; Udaj C; and De. Perfect fluid spacetimes obeying certain restrictions on the energy-momentum tensor. Filomat, Tome 37 (2023) no. 11, p. 3483 . doi: 10.2298/FIL2311483D
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     author = {Krishnendu De and Udaj C and and De},
     title = {Perfect fluid spacetimes obeying certain restrictions on the energy-momentum tensor},
     journal = {Filomat},
     pages = {3483 },
     year = {2023},
     volume = {37},
     number = {11},
     doi = {10.2298/FIL2311483D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2311483D/}
}
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