$f（R）$-引力中的Ricci Yamabe孤子

IF 0.4 Q4 MATHEMATICS

International Electronic Journal of Geometry Pub Date : 2023-03-14 DOI:10.36890/iejg.1234057

K. De, U. De

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引用次数: 0

摘要

本文的主要目的是描述满足$f（R）$-引力的完美流体时空，其中Ricci Yamabe、梯度Ricci Yamebe和$\eta$-Ricci Yamobe孤子是其度量。我们得到了Ricci—Yamabe和梯度Ricci—Yamabe孤子膨胀、稳定或收缩的条件。此外，我们还研究了$\eta$-Rrici-Yamabe孤子，并推导了一个泊松方程，借助于该方程，我们获得了一些重要的结果。

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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Ricci-Yamabe solitons in $f(R)$-gravity

The main objective of this paper is to describe the perfect fluid spacetimes fulfilling $f(R)$-gravity, when Ricci-Yamabe, gradient Ricci-Yamabe and $\eta$-Ricci-Yamabe solitons are its metrics. We acquire conditions for which the Ricci-Yamabe and the gradient Ricci-Yamabe solitons are expanding, steady or shrinking. Furthermore, we investigate $\eta$-Ricci-Yamabe solitons and deduce a Poisson equation and with the help of this equation, we acquire some significant results.

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来源期刊

International Electronic Journal of Geometry MATHEMATICS-

CiteScore

0.80

自引率

14.30%

发文量