in which f ( r ) will be determined from (3). A thin-shell wormhole is constructed in EMGB theory as follows. Two copies of the spacetime are chosen from which the regions are removed. We note that a will be identified in the sequel as the radius of the thin-shell and r$_{h}$ stands for the event horizon radius. (Note that our notation a corresponds to b in Ref. [6]. Other notations all agree with those in Ref. [6]). The boundary, time-like surface Σ 1 , 2 of each M 1 , 2 , accordingly will be Next, these surfaces are identified on r = a with a surface energy-momentum of a thin-shell such that geodesic completeness holds. Following the Darmois-Israel formalism [8] in terms of the original coordinates x γ = ( t, r, θ, φ, ψ ) , we define ξ a = ( τ, θ, φ, ψ ), with τ the proper time. The GB extension of the thin-shell EM theory requires further modifications. This entails the generalized Darmois-Israel boundary conditions [9], where the surface energy- momentum tensor is expressed by S b a =diag( σ, p$_{θ}$, p$_{φ}$, p$_{ψ}$ ). We are interested in the thin-shell geometry whose radius is assumed a function of τ , so that the hypersurface becomes The generalized Darmois-Israel conditions on Σ take the form where a bracket implies a jump across Σ, and h$_{ab}$ = g$_{ab}$ − n$_{a}$n$_{b}$ is the induced metric on Σ with normal vector n$_{a}$. K$_{ab}$ is the extrinsic curvature (with trace K ), defined by The remaining expressions are as follows. The divergence-free part of the Riemann tensor P$_{abcd}$ and the tensor J$_{ab}$ (with trace J ) are given by 4 M 1 , 2 = { r 1 , 2 ≤ a, a > r$_{h}$ } (7) Σ 1 , 2 = { r 1 , 2 = a, a > r$_{h}$ } . (8) Σ : f ( r, τ ) = r − a ( τ ) = 0 . (9) 2 〈 K$_{ab}$ − Kh$_{ab}$ 〉 + 4 α 〈 3 J$_{ab}$ − Jh$_{ab}$ + 2 P$_{acdb}$K $^{cd}$〉 = − κ $^{2}$S$_{ab}$ , (10) K ± ab = − n ± c ( ∂ $^{2}$x c ∂ξ $^{a}$∂ξb + Γ c mn ∂x m ∂ξ a ∂x n ∂ξ b ) r = a . (11) P$_{abcd}$ = R$_{abcd}$ + ( R$_{bc}$h$_{da}$ − R$_{bd}$h$_{ca}$ ) − ( R$_{ac}$h$_{db}$ − R$_{ad}$h$_{cb}$ ) + 1 2 R ( h$_{ac}$h$_{db}$ − h$_{ad}$h$_{cb}$ ) , (12) J$_{ab}$ = 1 3 [ 2 KK$_{ac}$K c b + K$_{cd}$K $^{cd}$K$_{ab}$ − 2 K$_{ac}$K $^{cd}$K$_{ab}$ − K $^{2}$K$_{ab}$ ] . (13)