Abstract

In this manuscript, we explore the existence of traversable wormholes (WHs) in the framework of f(R,T) (R is the Ricci scalar and T is the trace of energy–momentum tensor (EMT)) gravity with non-exotic matter and hypothetical condition of stability inside the WH throat. To this end, we choose two different suitable shape functions and obtain the necessary condition for overall stability of fluid evolution threading WH throat. To close the dynamical system of equations, we consider the power-law form of the f(R,T) model and adopt the Padé approximants to characterize rational shape function b(r)r. We consider the lowest Padé order, i.e., P(0,1), and obtain the negligible fluid perturbations inside the WH throat, which implies stable solutions. We determine the suitable bounds on model parameters for the above discussion. Finally, we conclude that only small deviations from general relativity (GR) are permitted where one can find the WH solutions with vanishing sound speed hypothesis in f(R,T) theory.

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