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 b(r)= re^r0-r (hybrid shape function). The functional form f(R, T)= R + αR² +λT is considered with R and T as the Ricci scalar and trace of energy-momentum tensor, respectively, α and β are controlling parameters. With the help of the EoS, ω= \frac{p_r}{\rho}, geometric behavior is analyzed and energy conditions are discussed in anisotropic scenario. In this investigation, significant contribution of the quadratic geometric term (R²) and linear trace term (T) are shown for validating energy conditions for specific shape function and analyzing wormhole solutions in absence of exotic matter. Also, we observe that the energy conditions are valid in whole range (r ≥ r0) in the case of constant redshift function with this shape function.