3 value at r$_{0}$ , corresponding to the wormhole throat, and extends to infinity. For the wormhole to be traversable, conditions commonly termed stability and traversability, are imposed on these two functions, namely: f ( r ) must be bounded for all values of r ; b $^{′}$( r$_{0}$ ) < 1 at r = r$_{0}$ ; b ( r ) < r for all r > r$_{0}$ and b/r → 0 as | r | → ∞ . The stress energy components in an orthonormal frame of reference are T$_{00}$ = ρ , T$_{11}$ = p and T$_{22}$ = p$_{t}$ . Here ρ is the energy density, p is the radial pressure while p$_{t}$ is the transverse pressure. The Einstein field equations become (units are c = 1 = G ) Here prime ( ′ ) denotes differentiation with respect to r . The energy conservation equation is obtained by evaluating T AB ; A = 0, with A, B = 0 , 1 , 2. It gives Note that in the above equations (3) to (5), the function f must not be a constant (i.e. f ′ = 0) otherwise the field equations become identically zero. Below we shall determine explicit form of f for a specific choice of two parameters. To solve the field equations, we choose the following ansatz for the shape function and pressures where α and b$_{0}$ are constants. Notice that α is dimensionless while b$_{0}$ possesses dimensions of ( length ) m $^{+1}$. It is easy to check that Eq. (6) satisfies the stability conditions for the wormhole. The second ansatz (7) says that the ratio of transverse to radial pressure will remain constant although both can vary differently. Our task is to find ρ , f , p and p$_{t}$ using Eqs. (2) to (7). Inserting (6) in (2), we have Since ρ is always positive so we require b$_{0}$ < 0. Making use of Eqs. (2) to (7) and after simplification, we arrive at f ′′ + [ b$_{0}$ ( m + 1) 2 r ( r m +1 − b$_{0}$ ) − α r$^{]}$ f ′ + f ′ 2 = 0 . (9) ρ ( r ) = − b$_{0}$ ( m + 1) 16 πr m +3 . (8) p$_{t}$ = αp, (7) b ( r ) = b$_{0}$ r $_{m}$, m = 0 , 1 , 2 , ... (6) p ′ + f $^{′}$ρ + $^{(}$f ′ + 1 r$^{)}$ p − p$_{t}$ r = 0 . (5) p$_{t}$ ( r ) = (1 − b/r ) 8 π $^{[}$f ′′ − ( b $^{′}$r − b ) 2 r ( r − b ) f ′ + f ′ 2 $^{]}$. (4) p ( r ) = (1 − b/r ) f ′ 8 πr , (3) ρ ( r ) = b $^{′}$r − b 16 πr 3 , (2)