Wormhole models in R2-gravity for f(R, T) theory with a hybrid shape function

Abstract

In the present paper, we explore wormholes in R2-gravity within the f(R, T) formalism by using [Formula: see text] (hybrid shape function). The functional form f(R, T) = R + αR2 + λT is considered where R and T are the Ricci scalar and trace of the energy–momentum tensor, respectively, and α and λ are controlling parameters. With the help of the EoS, ω = pr/ρ, geometric behavior is analyzed and energy conditions are discussed in the anisotropic scenario. In this investigation, significant contribution of the quadratic geometric term (R2) and linear trace term (T) are shown to validate energy conditions for the specific shape function and analyze wormhole solutions in the absence of exotic matter. Also, we observe that the energy conditions are valid in the whole range (r ≥ r0) in the case of constant redshift function with this shape function.