Testing the behaviour of exotic matter near wormhole throat in $f(R,T)$ gravity

Abstract

In this paper, I propose a static wormhole model within modified $f(R,T)$ gravity where $f(R,T)=R+2\lambda T$. The wormhole solutions have been evolved in four cases: three different shape function along with redshift $\varphi =\frac{{\varphi }_0}{r}$ and a variable EoS parameter $\omega (r)$ with constant redshift function. I also have explored the energy conditions and the behaviour of exotic matter within the wormhole in all scenarios. Presence of exotic matter violates necessary energy conditions near wormhole throat which gives constraint on modified gravity parameter $\lambda$ in all different cases.