Energy condition respecting warp drives: the role of spin in Einstein–Cartan theory
Open accessAbstract
In this paper we study the so called ‘warp drive’ spacetimes within the U 4 Riemann–Cartan manifolds of Einstein–Cartan theory. Specifically, the role that spin may play with respect to energy condition violation is considered. It turns out that with the addition of spin, the torsion terms in Einstein–Cartan gravity do allow for energy condition respecting warp drives. Limits are derived which minimize the amount of spin required in order to have a weak/null-energy condition respecting system. This is done both for the traditional Alcubierre warp drive as well as for the modified warp drive of Van Den Broeck which minimizes the amount of matter required for the drive. The ship itself is in a region of effectively vacuum and hence the torsion, which in Einstein–Cartan theory is localized in matter, does not affect the geodesic nature of the ship’s trajectory. We also comment on the amount of spin and matter required in order for these conditions to hold.
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The Debenedictis et al. configuration in Einstein-Cartan theory generates the Alcubierre configuration using positive energy densities only.
“Debenedictis et al. exploited this coupling to generate the Alcubierre configuration using positive energy densities only.”
From Positive energy warp drive from hidden geometric structures (2021) · cites this paper as [19]
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- Authors
- DeBenedictis, A., & Ilijić, S.
- Affiliations
- Simon Fraser University (CA)
- University of Zagreb (HR)
- Corresponding author
- Ilijić, Saša
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2018-10-08
- Volume
- 35
- Issue
- 21
- Pages
- 215001
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2884095655
- Semantic Scholar
- c5373934f234a5f1d1b0b93d755a4f89a19700ac
- Cited by
- 4
- References
- 42
- Citations by year
- 2024: 1 · 2022: 1 · 2021: 2
- FWCI
- 0.27
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- arXiv (Cornell University)
- Funders
- VIF program, University of Zagreb, Croatia
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Keywords
- warp drive, Einstein-Cartan theory, energy conditions, spin, torsion, Alcubierre metric, weak energy condition, null energy condition, Riemann-Cartan manifold
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