Curvature Invariants for Lorentzian Traversable Wormholes
| Autor: | Cooper Watson, Caleb Elmore, Abinash Kar, Andrew Baas, Brandon Mattingly, Bahram Shakerin, Ali, Matthew Gorban, Eric M. Davis, Gerald Cleaver, William Julius |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
lcsh:QC793-793.5 Christoffel symbols Basis (linear algebra) Curvature invariant General relativity lcsh:Elementary particle physics traversable wormhole FOS: Physical sciences General Physics and Astronomy General Relativity and Quantum Cosmology (gr-qc) Carminati and McLenaghan Curvature General Relativity and Quantum Cosmology Line (geometry) general relativity Mathematics::Differential Geometry Wormhole Schwarzschild radius curvature invariant Mathematical physics |
| Zdroj: | Universe Volume 6 Issue 1 Universe, Vol 6, Iss 1, p 11 (2020) |
| ISSN: | 2218-1997 |
| Popis: | The curvature invariants of three Lorentzian wormholes are calculated and plotted in this paper. The plots may be inspected for discontinuities to analyze the traversability of a wormhole. This approach was formulated by Henry, Overduin, and Wilcomb for black holes (Henry et al., 2016). Curvature invariants are independent of coordinate basis, so the process is free of coordinate mapping distortions and the same regardless of your chosen coordinates (Christoffel, E.B., 1869 Stephani, et al., 2003). The four independent Carminati and McLenaghan (CM) invariants are calculated and the nonzero curvature invariant functions are plotted (Carminati et al., 1991 Santosuosso et al., 1998). Three traversable wormhole line elements analyzed include the (i) spherically symmetric Morris and Thorne, (ii) thin-shell Schwarzschild wormholes, and (iii) the exponential metric (Visser, M., 1995 Boonserm et al., 2018). |
| Databáze: | OpenAIRE |
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