Testing Geometric Surface Conjecture for Rotating Transversable Wormholes

The recent geometric surface conjecture proposes that specific quasilocal surfaces, such as the ones characterizing a dynamical wormhole throat, can be distinguished in a foliation independent way by the vanishing of a particular set of curvature invariants. This conjecture has been tested for the Simpson, Martin-Moruno, and Visser wormhole, but has yet to be confirmed for the rotating transversable wormholes, such as the Teo wormhole. We examine the computational difficulties involved with the Teo wormhole both with respect to classification and surface identification, and will describe potential methods going forward.