# On a type of spacetime

##### Citations

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### Cites background from "On a type of spacetime"

...We cite ([8], [14], [16], [30]) and their references....

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...[8] also studied the properties of the isotropic and homogeneous space-times....

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6 citations

### Cites background from "On a type of spacetime"

...[27] showed that, in a conharmonically flat spacetime with cyclic parallel Ricci tensor, the energy–momentum tensor is cyclic parallel and conversely....

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##### References

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209 citations

### "On a type of spacetime" refers background in this paper

...But this means that the vector field ρ corresponding to the 1-form E defined by g(X, ρ) = E(X) is a proper concircular vector field [19, 23]....

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126 citations

### "On a type of spacetime" refers background in this paper

...In this connection we mention the works of Defever et al. [8], Shaikh et al. [20], Kaigorodov [12], De and Ghosh [5], Chaki and Roy [4], De et al. [7], Guha and Chakraborty [11], Prvanovic [16, 17], Tamássy and Binh [21] and many others....

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...Also if in (1) the 1-form A is replaced by 2A, then the manifold is called a generalized pseudo Ricci symmetric manifold introduced by Chaki and Koley [3]....

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...If in (1) the 1-form A is replaced by 2A, B and D are replaced by A, then the manifold is called a pseudo Ricci symmetric manifold introduced by Chaki [2]....

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87 citations

### "On a type of spacetime" refers background in this paper

...Again Barnes [1] has proved that if a perfect fluid spacetime is shear free, vorticity free and the velocity vector field is hypersurface orthogonal and the energy density is constant over a hypersurface orthogonal to the velocity vector field, then the possible local cosmological structure of the spacetime are of Petrov type I, D or O....

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