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A process for using curvature invariants is applied to evaluate the metricsfor the Alcubierre and the Natario warp drives at a constant velocity.Curvatureinvariants are independent of coordinate bases, so plotting these invariantswill be free of coordinate mapping distortions. As a consequence, they providea novel perspective into complex spacetimes such as warp drives. Warp drivesare the theoretical solutions to Einstein's field equations that allow thepossibility for faster-than-light (FTL) travel. While their mathematics is wellestablished, the visualisation of such spacetimes is unexplored. This paperuses the methods of computing and plotting the warp drive curvature invariantsto reveal these spacetimes. The warp drive parameters of velocity, skin depthand radius are varied individually and then plotted to see each parameter'sunique effect on the surrounding curvature. For each warp drive, this researchshows a safe harbor and how the shape function forms the warp bubble. Thecurvature plots for the constant velocity Natario warp drive do not contain awake or a constant curvature indicating that these are unique features of theaccelerating Natario warp drive.

Curvature Invariants for the Alcubierre and Nat\'ario Warp Drives