Ricci-Yamabe Solitons in f(R)-gravity

Year 2023, Volume: 16 Issue: 1, 334 - 342, 30.04.2023

Krishnendu De U.c. De

https://doi.org/10.36890/iejg.1234057

Abstract

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.

Keywords

Perfect fluids, f(R)-gravity, Ricci-Yamabe solitons, η-Ricci-Yamabe solitons

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