Curvature Invariants for the Alcubierre and Nat\'ario Warp Drives
| Autor: | Caleb Elmore, Abinash Kar, E. W. Davis, Cooper Watson, Brandon Mattingly, Jeffrey S. Lee, Bahram Shakerin, William Julius, Ali, Gerald Cleaver, Matthew Gorban, Andrew Baas |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
lcsh:QC793-793.5 Warp drive Curvature invariant General relativity warp drive lcsh:Elementary particle physics General Physics and Astronomy Wake Curvature General Relativity and Quantum Cosmology Constant curvature Physics::Popular Physics symbols.namesake Classical mechanics Computer Science::Sound general relativity symbols Alcubierre drive Mathematics::Differential Geometry Einstein Nuclear Experiment Physics::Atmospheric and Oceanic Physics curvature invariant |
| Zdroj: | Universe Volume 7 Issue 2 Universe, Vol 7, Iss 21, p 21 (2021) |
| Popis: | A process for using curvature invariants is applied to evaluate the metrics for the Alcubierre and the Natá rio warp drives at a constant velocity. Curvature invariants are independent of coordinate bases, so plotting these invariants will be free of coordinate mapping distortions. As a consequence, they provide a novel perspective into complex spacetimes, such as warp drives. Warp drives are the theoretical solutions to Einstein&rsquo s field equations that allow for the possibility for faster-than-light (FTL) travel. While their mathematics is well established, the visualisation of such spacetimes is unexplored. This paper uses the methods of computing and plotting the warp drive curvature invariants to reveal these spacetimes. The warp drive parameters of velocity, skin depth and radius are varied individually and then plotted to see each parameter&rsquo s unique effect on the surrounding curvature. For each warp drive, this research shows a safe harbor and how the shape function forms the warp bubble. The curvature plots for the constant velocity Natá rio warp drive do not contain a wake or a constant curvature, indicating that these are unique features of the accelerating Natá rio warp drive. |
| Databáze: | OpenAIRE |
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