of the traversable wormhole, and $g_\oplus$ is Earth’s gravitational acceleration. We can easily find that the traversal velocity depends on the redshift for the DGP scenario, which also implies that the wormhole space–time configuration evolves with cosmic time. As a concrete case, assuming $r_0=100$ m and taking the best-fitting values (0.2684, 0.1912) of the model parameter pair ($\Omega_{m0}$, $\Omega_{r_c}$) from the SNe Ia+OHD+Planck+GW constraints, we obtain a traversal velocity of $v\approx1192.6$ m/s at the present epoch. In what follows, choosing the matching radius $D=10000$ m, we can also obtain a traversal time of $\Delta\tau\approx\Delta t\approx2L/v\thickapprox16.77\;\rm s$.

A special shape function: $b(r)=r_0+\frac{1}{\omega_{eff}}(r_0-r)$
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Considering a specific choice for the shape function $b(r)=r_0+\frac{1}{\omega_{eff}}(r_0-r)$ and utilizing Eq. (\[8\]), we can get $$\Phi'(r)=-\frac{1}{2r}. \label{14}$$ Integrating over $r$ on both sides gives $$\Phi(r)=-\frac{1}{2}\ln r+B, \label{15}$$ where $B$ is an integration constant. We can easily find that the solution is not asymptotically flat because it diverges when $r\rightarrow\infty$. Thus, the wormhole space–time configuration is not traversable for an interstellar traveler. However, in theory, we can construct a traversable wormhole by gluing an exterior flat space–time geometry onto the interior space–time geometry at a junction radius $r_m$. Hence, the integration constant $B$ can be expressed as $C=\Phi(r_m)+\frac{1}{2}\ln(\frac{r_m}{r})$. 