Wormholes, Warp Drives and Energy Conditions
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Alcubierre warp drives have more recently been shown to also violate the null energy condition (NEC).
“and have more recently been shown to also violate the null energy condition (NEC) [29].”
From Generic warp drives violate the null energy condition (2022) · cites this paper as [29]
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Cites
Riess, A. G., Strolger, L., Tonry, J., Casertano, S., Ferguson, H. C., Mobasher, B., Challis, P., Filippenko, A. V., Jha, S., Li, W., et al. (2004) · The Astrophysical Journal · doi:10.1086/383612 · Cited by 4,315 · see citing works
The warp drive: hyper-fast travel within general relativity
Alcubierre, M. (1994) · Classical and Quantum Gravity · doi:10.1088/0264-9381/11/5/001 · Cited by 569 · cited 6× · see citing works
“Shortly after the discovery of the Alcubierre warp drive solution [3], an interesting feature of the spacetime was found.”
InfluentialSelf-citationAveraged energy conditions and quantum inequalities
Ford, L. H., & Roman, T. A. (1995) · Physical Review D · doi:10.1103/physrevd.51.4277 · Cited by 284 · cited 7× · see citing works
“[14] A. E. Everett and T. A. Roman, “A Superluminal Subway: The Krasnikov Tube,” Phys.”
MethodInfluentialQuantum field theory constrains traversable wormhole geometries
Ford, L. H., & Roman, T. A. (1996) · Physical Review D · doi:10.1103/physrevd.53.5496 · Cited by 192 · cited 1× · see citing works
“Using the QI in the context of warp drive spacetimes, it was soon verified that enormous amounts of energy are needed to sustain superluminal warp drive spacetimes [17, 18].”
MethodFundamental limitations on ‘warp drive’ spacetimes
Lobo, F. S. N., & Visser, M. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/24/011 · Cited by 117 · see citing works
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Flagged first, then by citations
Research works printed but not linked: 5
- [4]M. Visser, B. Bassett and S. Liberati, 'Perturbative superluminal censorship and the null energy condition,' Proceedings of the Eighth Canadian Conference on General Relativity and Relativistic Astrophysics (AIP Press) (1999).
- [5]M. Visser, B. Bassett and S. Liberati, 'Superluminal censorship,' Nucl. Phys. Proc. Suppl. 88 , 267-270 (2000).
- [13]S. V. Krasnikov, 'Hyper-fast Interstellar Travel in General Relativity,' Phys. Rev. D 57 , 4760 (1998) [arXiv:gr-qc/9511068]. · arXiv
- [23]J. W. York, 'Kinematic and dynamics of general relativity', in L. L. Smarr editor, Sources of gravitational radiation' , Cambridge University Press, UK, 1979, pp. 83-126.
- [24]M. Alcubierre, Introduction to 3+1 numerical relativity (Oxford University Press, UK, 2008).
Cited by
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Energy conditions in general relativity and quantum field theory
Kontou, E.-A., & Sanders, K. (2020) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab8fcf · Cited by 223 · see citing works
Generic warp drives violate the null energy condition
Santiago, J., Schuster, S., & Visser, M. (2022) · Physical Review D · doi:10.1103/physrevd.105.064038 · Cited by 42 · see citing works
“” However in a more recent article by Alcubierre and Lobo [24], they explicitly prove the stronger result that the Alcubierre warp drive violates the NEC.”
BackgroundInfluentialCurvature Invariants for the Alcubierre and Natário Warp Drives
Mattingly, B., Kar, A., Gorban, M., Julius, W., Watson, C. K., Ali, M., Baas, A., Elmore, C., Lee, J. S., Shakerin, B., et al. (2021) · Universe · doi:10.3390/universe7020021 · Cited by 14 · see citing works
Alcubierre warp drive in spherical coordinates with some matter configurations
Abellán, G., Bolivar, N., & Vasilev, I. (2023) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-11091-5 · Cited by 8 · see citing works
Curvature Invariants for the Accelerating Natário Warp Drive
Mattingly, B., Kar, A., Gorban, M., Julius, W., Watson, C. K., Ali, M. D., Baas, A., Elmore, C., Lee, J. S., Shakerin, B., et al. (2020) · Particles · doi:10.3390/particles3030042 · Cited by 9 · see citing works
ADM mass in warp drive spacetimes
Schuster, S., Santiago, J., & Visser, M. (2023) · General Relativity and Gravitation · doi:10.1007/s10714-022-03061-9 · Cited by 8 · see citing works
“See specifically the original discussion in [1], and the subsequent follow-up discussions in [12–17], and [20, 21].”
BackgroundEnergy condition respecting warp drives: the role of spin in Einstein–Cartan theory
DeBenedictis, A., & Ilijić, S. (2018) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aae326 · Cited by 4 · see citing works
- Authors
- Alcubierre, M., & Lobo, F. S. N.
- Affiliations
- University of Lisbon (PT)
- Corresponding author
- Francisco S. N. Lobo
- ORCID
- Francisco S. N. Lobo
- Venue
- Fundamental Theories of Physics
- Publisher
- Springer International Publishing
- Published
- 2017
- ISSN
- 0168-1222 (ISSN-L)
- 2365-6425
- OpenAlex
- W2616573312
- Cited by
- 189
- References
- 5
- Citations by year
- 2026: 10 · 2025: 26 · 2024: 24 · 2023: 23 · 2022: 27 · 2021: 17 · 2020: 23 · 2019: 18 · 2018: 17 · 2017: 4
- FWCI
- 12.30
- Type
- book
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Fundamental theories of physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- DIAL (Catholic University of Leuven) (submittedVersion)
- 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 › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- warp drive, wormholes, energy conditions, superluminal travel, closed timelike curves, horizon, faster-than-light communication, general relativity
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