# Gao-Jafferis-Wall wormhole The GJW wormhole is a [[0083 Traversable wormhole|traversable wormhole]] that connects two originally causally disconnected boundaries of a two-sided black hole via a double trace deformation on the boundary. ## Refs - OG: [[2016#Gao, Jafferis, Wall]] ## Time delay and ANEC violation - from Einstein equation: $\frac{1}{2}\left(-\Lambda h_{V V}+\delta^{i j} \frac{\partial_{V} h_{i j}+V \partial_{V}^{2} h_{i j}}{V z_{h}^{2}}\right)=8 \pi G_{N}\left\langle T_{V V}\right\rangle$ - then the wormhole opening is computed as $\Delta U=-\frac{1}{g_{U V}(0)} \int h_{V V} d V=\frac{16 \pi^{2} G_{N} T}{d(d-1)} \int\left\langle T_{V V}\right\rangle d V$ ## Extensions - relation to [[0434 Diffusivity]] - [[AhnBakJahnkeKim2022]][](https://arxiv.org/pdf/2206.03434.pdf)