## 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 |
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Article number | 104835 |

Journal | Journal of Geometry and Physics |

Volume | 189 |

DOIs | |

Publication status | Published - Jul 2023 |

### Bibliographical note

Publisher Copyright:© 2023 Elsevier B.V.

## Keywords

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