I'm a bit puzzled about some calculations regarding the Ellis wormhole metric, prompted by Exercise 2.1(b) in Eric Poisson's "A Relativist's Toolkit". Suppose the metric has the form: ds2=dt2+dl2+(n2+l2)Ω2ds^2 = -dt^2 + dl^2 +(n^2+l^2)\Omega^2 Then, calculating the Ricci and Einstein tensors, and assuming EFE, one can easily show that this spacetime violates NEC, WEC, SEC and DEC at l=0l=0 . But when I have the metric in the following form (as in Poisson's book): ds2=dt2+dl2+r2(l)dΩ2ds^2 = -dt^2+dl^2+r^2(l)d\Omega^2 with suitable restrictions on rr , and calculate Ricci and Einstein tensors at r0:=r(0)r_0 := r(0) , I get Rθθ=1R_{\theta\theta} = 1 and Rϕϕ=sin2(θ)R_{\phi\phi} = \sin^2(\theta) as only non-zero terms, and Gtt=1/r02G_{tt} = 1/r_0^2 and Gll=1/r02G_{ll} = -1/r_0^2 . In that case, all the above energy conditions are respected. I don't know what's going on here: I checked the calculations with some software. What am I missing?