Geometry of Certain Almost Conformal Metrics in f(R)-Gravity

In this article, we explore certain almost conformal Ricci solitons in f(R)-gravity by assuming the potential vector field as a concircular vector field. We also study the almost conformal gradient-Ricci solitons and the almost conformal ω-Ricci solitons in f(R)-gravity. Furthermore, it is shown that an almost conformal ω-Ricci soliton and an almost conformal ω-Ricci-Yamabe soliton establish Poisson’s equation. At the last, some examples are constructed.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2025-03-24
DOI
https://doi.org/10.28924/2291-8639-23-2025-76
Primary Topic
Advanced Differential Geometry Research
Type
article
Field-Weighted Citation Impact
0.00

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Geometry of Certain Almost Conformal Metrics in f(R)-Gravity

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Geometry of Certain Almost Conformal Metrics in f(R)-Gravity

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article en

Abstract

In this article, we explore certain almost conformal Ricci solitons in f(R)-gravity by assuming the potential vector field as a concircular vector field. We also study the almost conformal gradient-Ricci solitons and the almost conformal ω-Ricci solitons in f(R)-gravity. Furthermore, it is shown that an almost conformal ω-Ricci soliton and an almost conformal ω-Ricci-Yamabe soliton establish Poisson’s equation. At the last, some examples are constructed.

International Journal of Analysis and ApplicationsVol. 23
Umm Al-Qura University
Openalex Percentile: Top 95%
Advanced Differential Geometry Research
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