TY  - JOUR
T1  - Ricci-Yamabe Solitons in f(R)-gravity
AU  - De, U.c.
AU  - De, Krishnendu
PY  - 2023
DA  - April
Y2  - 2023
DO  - 10.36890/iejg.1234057
JF  - International Electronic Journal of Geometry
JO  - Int. Electron. J. Geom.
PB  - Kazım İlarslan
WT  - DergiPark
SN  - 1307-5624
SP  - 334
EP  - 342
VL  - 16
IS  - 1
LA  - en
AB  - 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.
KW  - Perfect fluids
KW  - f(R)-gravity
KW  - Ricci-Yamabe solitons
KW  - η-Ricci-Yamabe solitons
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UR  - https://doi.org/10.36890/iejg.1234057
L1  - https://dergipark.org.tr/en/download/article-file/2890919
ER  -