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

被引：0

作者：

Prasad, Rajendra ^{[1
]}

Verma, Abhinav ^{[1
]}

Bilal, Mohd ^{[2
]}

Haseeb, Abdul ^{[3
]}

Yadav, Vindhyachal Singh ^{[1
]}

机构：

[1] Univ Lucknow, Dept Math & Astron, Lucknow 226007, India

[2] Umm Al Qura Univ, Fac Appl Sci, Dept Math Sci, Mecca 21955, Saudi Arabia

[3] Jazan Univ, Coll Sci, Dept Math, POB 114, Jazan 45142, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2025年 / 23卷

关键词：

almost conformal Ricci-Yamabe solitons; almost conformal gradient-Ricci solitons; almost conformal w--Ricci solitons; concircular vector field; Poisson's equation; Einstein field equation; ETA-RICCI SOLITONS; MANIFOLDS;

D O I：

10.28924/2291-8639-23-2025-76

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 w-Ricci solitons in f (R)-gravity. Furthermore, it is shown that an almost conformal w-Ricci soliton and an almost conformal w-Ricci-Yamabe soliton establish Poisson's equation. At the last, some examples are constructed.

引用

页数：15

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