Certain investigations of pseudo Z-symmetric spacetimes

Sezgin Altay Demirbag; Uday Chand De; Fusun Ozen Zengin;


The section 1 of this paper deals with the definition for a pseudo symmetric spacetime. In section 2, it is proved that a $(PZS)_4$ spacetime satisfying Codazzi type of $Z$-tensor does not exist. In which condition a $(PZS)_4$ spacetime can be a perfect fluid has been found as a necessary and sufficient condition. After that, special properties are obtained if the $(PZS)_4$ spacetime has harmonic conformal curvature tensor.

Vol. 25 (2024), No. 1, pp. 189-202

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