A comparative study of wormhole models in f(R, T) gravity

We have conducted research on the presence of wormholes characterized by a logarithmic shape function within the framework of exponential f(R,T) gravity. This gravity model is defined as f(R,T)=R+2e(beta t), with beta representing an arbitrary constant. We find that the logarithmic shape function serves as expected, providing all the necessary conditions for traversable and asymptotically flat wormholes. We have examined the solutions with three distinct sets of physical constraints placed on p(r), p(t) and rho. viz. Model-I: p(r)=k(pt) with k being variable dependent on r and p(t)=omega rho with omega being EoS parameter, Model-II: p(r)=omega(1)rho and p(t)=omega(2)rho with omega(1) and omega(2) being EoS parameters, Model-III: Trace is zero i.e. T=0 or rho = p(r) + 2pt i.e. f(R) gravity model. From Model-I, we have obtained a new parametrization for EoS parameter omega(r) and from Model-III, we have obtained a new form of shape function b(r) in f(R) gravity theory.