Ricci-Yamabe Solitons in f(R)-gravity-Reference-Cited by-同舟云学术

Ricci-Yamabe Solitons in f(R)-gravity

Published:2023-04-30 Issue:1 Volume:16 Page:334-342
ISSN:1307-5624
Container-title:International Electronic Journal of Geometry
language:
Short-container-title:

Author:

DE Krishnendu¹^ORCID,DE U.c.²^ORCID

Affiliation:

1. Kabi Sukanta Mahavidyalaya, The University of Burdwan

2. Calcutta University

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.

Publisher

International Electronic Journal of Geometry, Person (Kazim ILARSLAN)

Subject

Applied Mathematics,Geometry and Topology,Mathematical Physics

Reference29 articles.

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