Research Article

Generalized Ƶ-solitons on Perfect Fluid Spacetimes in f(r, T)-Gravity

Published in: Quaestiones Mathematicae
Volume 48 , issue 12 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1703–1719
DOI: 10.2989/16073606.2025.2543781
Author(s): Shahroud Azami Imam Khomeini International University, Iran, Uday Chand De University of Calcutta, India, Mehdi Jafari Payame Noor University, Iran,
Keywords: 53C25, 53E20, 53Z05, Generalized Ƶ-solitons, perfect fluid spacetimes, general relativity,
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Abstract

This research paper aims to investigate the properties of almost generalized Ƶ-solitons and almost gradient generalized Ƶ-solitons on perfect fluid spacetimes within f(r, T)-gravity. Initially, we derive some properties of the potential vector field associated with the almost gradient generalized Ƶ-solitons. Furthermore, we explore the characteristics of almost generalized Ƶ-solitons in various specific categories of perfect fluid spacetimes in f(r, T)-gravity, including dust fluid and dark fluid.
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