This paper explores the stability of the Einstein universe against linear homogeneous perturbations in the background of f( ,T) gravity. We construct static as well as perturbed field equations and investigate stability regions for the specific forms of generic function f( ,T) corresponding to conserved as well as nonconserved energy-momentum tensor. We use the equation-of-state parameter to parameterize the stability regions. The graphical analysis shows that the suitable choice of parameters lead to stable regions of the Einstein universe.;This paper explores the stability of the Einstein universe against linear homogeneous perturbations in the background of f ( , T ) gravity. We construct static as well as perturbed field equations and investigate stability regions for the specific forms of generic function f ( , T ) corresponding to conserved as well as nonconserved energy-momentum tensor. We use the equation-of-state parameter to parameterize the stability regions. The graphical analysis shows that the suitable choice of parameters lead to stable regions of the Einstein universe.;This paper explores the stability of the Einstein universe against linear homogeneous perturbations in the background of [Formula: see text] gravity. We construct static as well as perturbed field equations and investigate stability regions for the specific forms of generic function [Formula: see text] corresponding to conserved as well as nonconserved energy-momentum tensor. We use the equation-of-state parameter to parameterize the stability regions. The graphical analysis shows that the suitable choice of parameters lead to stable regions of the Einstein universe.;