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

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.