Thin-shell wormholes supported by ordinary matter in Einstein-Gauss-Bonnet gravity

The generalized Darmois-Israel formalism for Einstein-Gauss-Bonnet theory is applied to construct thin-shell Lorentzian wormholes with spherical symmetry. We calculate the energy localized on the shell, and we find that for certain values of the parameters wormholes could be supported by matter not violating the energy conditions.

Figure 1

The amount $\Omega$ is shown as a function of $r_{wh}/\sqrt{M}$, for $Q=0$ and $\pi \alpha =0.9M$. The gray solid line corresponds to the five-dimensional Schwarzschild case, the dashed line corresponds to considering the Gauss-Bonnet term as a kind of effective source for the field equations, and the black solid line shows the result obtained here with the generalized Darmois-Israel formalism for Einstein-Gauss-Bonnet theory. The horizon radius corresponds to the Einstein-Gauss-Bonnet case.

Figure 2

The amount $\Omega$ is shown as a function of $r_{wh}/\sqrt{M}$, for $Q=0$ and $\pi \alpha =0.9M$. The plot shows the result obtained here with the generalized Darmois-Israel formalism for Einstein-Gauss-Bonnet theory. The horizon radius corresponds to the Einstein-Gauss-Bonnet case. We see that we have the possibility of a thin-shell wormhole without violation of the energy conditions.