Morris–Thorne wormholes in modified f(R, T) gravity

We study static traversable wormholes obtained by Morris and Thorne in general relativity (GR) the framework of a modified theory gravity. The gravitational action $f(R,T)$ is function Ricci scalar ($R$) trace energy momentum tensor ($T$). For gravity $f(R,T)=R+\alpha R^{2}+\lambda T$, where $\alpha$ $\lambda$ are constants, we obtain wormhole solutions (WH) with normal matter for relevant shape functions. conditions checked at throat away from WH. coupling parameters $\alpha $ play an important role to accommodate composition. given $\lambda$, WH found presence exotic <0$. It shown that exists without when >0$. consider two different functions investigate existence or matter. A class exist anisotropic fluid provided $\lambda \neq - 8 \pi$. In flat asymptotic regions on both sides source $\lambda= \pi$, it does not permit as per no go theorem. As \rightarrow 0$ action, all obeyed hybrid indicating