Dynamic Geometry:
To give more clearly details for the traversible wormhole I will now put on our mathematical goggles.
\displaystyle G_{\mu \nu} = R_{\mu \nu} - \frac{1}{2}Rg_{\mu \nu} = 8\pi G c^{-4}\cdot T_{\mu \nu}
where \displaystyle R_{\mu \nu} = R^{\alpha}_{\hspace{5pt}\mu \alpha \nu} and we can rewrite this to, \displaystyle R = g^{\mu \nu} R_{\mu \nu}
The standard formula is then,
\displaystyle R^{\alpha}_{\hspace{5pt} \beta \gamma \delta} = \Gamma^{\alpha}_{\hspace{5pt}\beta \delta , \gamma} - \Gamma^{\alpha}_{\hspace{5pt}\beta \gamma , \delta} + \Gamma^{\alpha}_{\hspace{5pt}\lambda \gamma}\Gamma^{\lambda}_{\hspace{5pt} \beta \delta} - \Gamma^{\alpha}_{\hspace{5pt} \lambda \delta}\Gamma^{\lambda}_{\hspace{5pt} \beta \gamma}