关于梯度Ricci-Yamabe孤子

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-02-28 DOI:10.1007/s40995-025-01785-2

Fatma Karaca, Sinem Güler

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引用次数: 0

摘要

本文建立了多重弯曲积流形存在梯度Ricci-Yamabe孤子的充分必要条件。为此，研究了该孤子的势函数和多重弯曲积流形各分量必须满足的条件。作为物理应用，讨论了多重广义Robertson-Walker时空和广义Reissner-Nordström时空，并得到了它们上存在梯度riczi - yamabe孤子的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Gradient Ricci-Yamabe Solitons

In this paper, we establish some necessary and sufficient conditions for multiply warped product manifolds admitting a gradient Ricci-Yamabe soliton. For this purpose, the potential function of this soliton and the conditions that must be satisfied for each component of the multiply warped product manifold are investigated. As physical applications, multiply generalized Robertson–Walker spacetimes and generalized Reissner-Nordström spacetimes are discussed and results regarding the existence of gradient Ricci-Yamabe solitons on them are obtained.

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来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences