CERTAIN INVESTIGATIONS OF PSEUDO Z-SYMMETRIC SPACETIMES

Sezgin Altay Demirbag; Uday Chand De; Fusun Ozen Zengin

doi:10.18514/MMN.2024.4254

CERTAIN INVESTIGATIONS OF PSEUDO Z-SYMMETRIC SPACETIMES

Sezgin Altay Demirbag, Uday Chand De, Fusun Ozen Zengin^*

^*Corresponding author for this work

Department of Mathematics Engineering

University of Calcutta

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	189-202
Number of pages	14
Journal	Miskolc Mathematical Notes
Volume	25
Issue number	1
DOIs	https://doi.org/10.18514/MMN.2024.4254
Publication status	Published - 2024

Bibliographical note

Publisher Copyright:
© 2024 The Author(s). Published by Miskolc University Press. This is an open access article under the license CC BY 4.0.

Keywords

GRW spacetime
RW spacetime
Riemann compatible
Weyl compatible
harmonic conformal curvature tensor
pseudo Z-symmetric

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10.18514/MMN.2024.4254

Cite this

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title = "CERTAIN INVESTIGATIONS OF PSEUDO Z-SYMMETRIC SPACETIMES",

abstract = "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.",

keywords = "GRW spacetime, RW spacetime, Riemann compatible, Weyl compatible, harmonic conformal curvature tensor, pseudo Z-symmetric",

author = "Demirbag, {Sezgin Altay} and {Chand De}, Uday and Zengin, {Fusun Ozen}",

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AU - Chand De, Uday

AU - Zengin, Fusun Ozen

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - GRW spacetime

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KW - Riemann compatible

KW - Weyl compatible

KW - harmonic conformal curvature tensor

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JF - Miskolc Mathematical Notes

IS - 1

ER -

CERTAIN INVESTIGATIONS OF PSEUDO Z-SYMMETRIC SPACETIMES

Abstract

Bibliographical note

Keywords

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