Certain investigations of pseudo Z -symmetric spacetimes

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 suffici...

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2024, Vol.25 (1), p.189-202
Hauptverfasser: Demirbag, Sezgin Altay, De, Uday Chand, Zengin, Fusun Ozen
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Sprache:eng
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Zusammenfassung: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.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2024.4254