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Presented are toy-models for sub-luminal and super-luminal warp-drives in 3+1dimensions. The models are constructed in a chimeric manner - as different bulkspace-times separated by thin membranes. The membranes containperfect-fluid-like stress-energy tensors. The Israel junction conditions relatethis stress-energy to a jump in extrinsic curvature across the brane, which inturn manifests as apparent acceleration in the bulk space-times. Theacceleration on either side of the brane may be set individually by choice ofmodel parameters. The Weak Energy Condition (WEC) is shown to be satisfiedeverywhere in both models. Although the branes in these toy models are notcompact, it is demonstrated that super-luminal warp-drive is possible thatsatisfies the WEC. Additionally, the nature of these models provides frameworkfor speculation on a mechanism for transition from sub-luminal to super-luminalwarp. Neither quantum effects nor stability of the models is considered.

Membrane Models as a Means of Propulsion in General Relativity: Super-Luminal Warp-Drive that Satisfies the Weak Energy Condition