https://neckpinch.com/authors/krishnendu-de-young-jin-suh/New arXiv papers by Krishnendu De Young Jin Suh, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2202.03254/arxiv:2202.03254Mon, 07 Feb 2022 00:00:00 GMTKrishnendu De Young Jin Suh, Uday Chand De — The prime object of this article is to study the perfect fluid spacetimes obeying f(𝓡)-gravity, when η-Ricci solitons, gradient η-Ricci solitons, gradient Einstein Solitons and gradient m-quasi Einstein solitons are its metrics. At first, the existence of the η-Ricci solitons is proved by a non-trivial example. We establish conditions for which the η-Ricci solitons are expanding, steady or shrinking. Besides, in the perfect fluid spacetimes obeying f(𝓡)-gravity, when the potential vector field of η-Ricci soliton is of gradient type, we acquire a Poisson equation. Moreover, we investigate gradient η-Ricci solitons, gradient Einstein Solitons and gradient m-quasi Einstein solitons in f(𝓡)-gravity, respectively. As a result, we establish some significant theorems about dark matter era.Ricci solitonsAlmost & η-Ricci solitonsPhysics