Pseudo Z-symmetric spacetimes with harmonic conformal curvature tensor in F(R)-gravity

Füsun Özen Zengin; Uday Chand De; Sezgin Altay Demirbag

doi:10.1016/j.geomphys.2023.104835

Pseudo Z-symmetric spacetimes with harmonic conformal curvature tensor in F(R)-gravity

Füsun Özen Zengin^*, Uday Chand De, Sezgin Altay Demirbag

^*Corresponding author for this work

Department of Mathematics Engineering

University of Calcutta

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

1 Citation (Scopus)

Abstract

The present paper is concerned with the study of pseudo Z-symmetric spacetimes (in short, (PZS)₄) admitting harmonic conformal curvature tensor in F(R)-gravity. First, we prove that a (PZS)₄ spacetime admitting harmonic conformal curvature tensor is conformally flat and this spacetime is a RW spacetime. For these manifolds, we determine the scale factor a(t) in a spatially flat RW spacetime and we obtain the scalar curvature of this spacetime. We find the properties of (PZS)₄ spacetimes with harmonic conformal curvature tensor. After that, the isotropic pressure and the energy density are found for such a manifold in F(R)-gravity. At the end, choosing F(R)=R, we prove that the density parameter is 1 and this spacetime has the properties of type I (Big Rip).

Original language	English
Article number	104835
Journal	Journal of Geometry and Physics
Volume	189
DOIs	https://doi.org/10.1016/j.geomphys.2023.104835
Publication status	Published - Jul 2023

Bibliographical note

Publisher Copyright:
© 2023 Elsevier B.V.

Funding

We would like to thank the Referee for reviewing the paper carefully and his/her valuable comments to improve the quality of the paper.

Keywords

F(R)-gravity
FRW-universe
Harmonic conformal curvature tensor
Hubble parameter
Pseudo Z-symmetric
RW spacetime

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10.1016/j.geomphys.2023.104835

Cite this

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title = "Pseudo Z-symmetric spacetimes with harmonic conformal curvature tensor in F(R)-gravity",

abstract = "The present paper is concerned with the study of pseudo Z-symmetric spacetimes (in short, (PZS)4) admitting harmonic conformal curvature tensor in F(R)-gravity. First, we prove that a (PZS)4 spacetime admitting harmonic conformal curvature tensor is conformally flat and this spacetime is a RW spacetime. For these manifolds, we determine the scale factor a(t) in a spatially flat RW spacetime and we obtain the scalar curvature of this spacetime. We find the properties of (PZS)4 spacetimes with harmonic conformal curvature tensor. After that, the isotropic pressure and the energy density are found for such a manifold in F(R)-gravity. At the end, choosing F(R)=R, we prove that the density parameter is 1 and this spacetime has the properties of type I (Big Rip).",

keywords = "F(R)-gravity, FRW-universe, Harmonic conformal curvature tensor, Hubble parameter, Pseudo Z-symmetric, RW spacetime",

author = "{{\"O}zen Zengin}, F{\"u}sun and De, {Uday Chand} and {Altay Demirbag}, Sezgin",

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year = "2023",

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doi = "10.1016/j.geomphys.2023.104835",

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T1 - Pseudo Z-symmetric spacetimes with harmonic conformal curvature tensor in F(R)-gravity

AU - Özen Zengin, Füsun

AU - De, Uday Chand

AU - Altay Demirbag, Sezgin

PY - 2023/7

Y1 - 2023/7

N2 - The present paper is concerned with the study of pseudo Z-symmetric spacetimes (in short, (PZS)4) admitting harmonic conformal curvature tensor in F(R)-gravity. First, we prove that a (PZS)4 spacetime admitting harmonic conformal curvature tensor is conformally flat and this spacetime is a RW spacetime. For these manifolds, we determine the scale factor a(t) in a spatially flat RW spacetime and we obtain the scalar curvature of this spacetime. We find the properties of (PZS)4 spacetimes with harmonic conformal curvature tensor. After that, the isotropic pressure and the energy density are found for such a manifold in F(R)-gravity. At the end, choosing F(R)=R, we prove that the density parameter is 1 and this spacetime has the properties of type I (Big Rip).

AB - The present paper is concerned with the study of pseudo Z-symmetric spacetimes (in short, (PZS)4) admitting harmonic conformal curvature tensor in F(R)-gravity. First, we prove that a (PZS)4 spacetime admitting harmonic conformal curvature tensor is conformally flat and this spacetime is a RW spacetime. For these manifolds, we determine the scale factor a(t) in a spatially flat RW spacetime and we obtain the scalar curvature of this spacetime. We find the properties of (PZS)4 spacetimes with harmonic conformal curvature tensor. After that, the isotropic pressure and the energy density are found for such a manifold in F(R)-gravity. At the end, choosing F(R)=R, we prove that the density parameter is 1 and this spacetime has the properties of type I (Big Rip).

KW - F(R)-gravity

KW - FRW-universe

KW - Harmonic conformal curvature tensor

KW - Hubble parameter

KW - Pseudo Z-symmetric

KW - RW spacetime

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Pseudo Z-symmetric spacetimes with harmonic conformal curvature tensor in F(R)-gravity

Abstract

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Keywords

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