Dergiler / International Electronic Journal of Geometry / 2023 / Cilt: 16 Sayı: 1

Ricci-Yamabe Solitons in f(R)-gravity

Sayfa
334–342
DOI
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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.

Anahtar kelimeler: Perfect fluids; $f(R)$-gravity; Ricci-Yamabe solitons; $\eta$-Ricci-Yamabe solitons., $f(R)$-gravity;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Perfect fluids;, Ricci-Yamabe solitons, Ricci-Yamabe solitons, Ricci-Yamabe solitons, Ricci-Yamabe solitons