New wormhole shape function and energy density function in f(R, Lm) gravity theory

In this work, static traversable wormholes are investigated in the context of f(R, L-m) gravity theory. Considering f(R, L-m) = aR(2) + cR + dL(m) model (in which a, c and d are constants) and assuming 2 rho + pr + 2pt = 0, a new shape function is obtained which is not asymptotically flat, but satisfies all the conditions of a shape function. Also in this case, all energy conditions (except strong energy conditions) are satisfied. Assuming f(R, L-m) = LmR2 and shape function b(r) = r(0)(2)/r, a new energy density function is obtained. Finally, a comparative study of ECs is investigated for different shape functions under the assumption rho = q( r/ r(0) )(-n) and f(R, L-m) = kL(m)R(1+1.5w) (where k, w and q are constants) and we have seen that the presence of exotic matter is not required in most of the cases.