Geodesic
Characterizations of twisted spacetime
Filomat, Tome 35 (2021) no. 14, p. 4871

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DOI

The object of the present paper is to characterize pseudo Ricci symmetric twisted spacetimes. At first it is shown that a pseudo Ricci symmetric twisted spacetime is a GRW spacetime. Next, we obtain a necessary and sufficient condition for a pseudo Ricci symmetric twisted spacetime to be a perfect fluid spacetime. It is also proved that a pseudo Ricci symmetric twisted spacetime is perfect fluid, provided the conformal curvature tensor is divergence free. Moreover, we investigate shear and vorticity vector fields of such type of spacetimes and pointed out its implications towards the evolution of the Early Universe. Finally, we study conformally flat (PRS) n spacetimes
DOI : 10.2298/FIL2114871M
Classification : 53B30, 53B50, 53C25
Keywords: Perfect fluid spacetime, Einstein’s field equation, Twisted spacetime, Pseudo Ricci symmetric spacetime, GRW spacetime 
Fatemah Mofarreh; C; and De. Characterizations of twisted spacetime. Filomat, Tome 35 (2021) no. 14, p. 4871 . doi: 10.2298/FIL2114871M
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     title = {Characterizations of twisted spacetime},
     journal = {Filomat},
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     year = {2021},
     volume = {35},
     number = {14},
     doi = {10.2298/FIL2114871M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114871M/}
}
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