The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity
Open accessAbstract
We consider the construction of generic spherically symmetric thin-shell traversable wormhole spacetimes in standard general relativity. By using the cut-and-paste procedure, we comprehensively analyze the stability of arbitrary spherically symmetric thin-shell wormholes to linearized spherically symmetric perturbations around static solutions. While a number of special cases have previously been dealt with in scattered parts of the literature, herein we take considerable effort to make the analysis as general and unified as practicable. We demonstrate in full generality that stability of the wormhole is equivalent to choosing suitable properties for the exotic material residing on the wormhole throat.
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Citations
Cites
The Large Scale Structure of Space-Time
Hawking, S. W., & Ellis, G. F. R. (1973) · doi:10.1017/cbo9780511524646 · Cited by 10,624
Gravitational vacuum polarization. II. Energy conditions in the Boulware vacuum
Visser, M. (1996) · Physical Review D · doi:10.1103/physrevd.54.5116 · Cited by 148
Self-citationFundamental 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 · cited 1×
“…[10], see also [11], where it was shown that wormhole geometries may in principle be supported by arbitrarily small quantities of exotic matter (an interesting application of the quantification of the total amount of energy condition violating matter in warp drive spacetimes was considered in [12]).”
BackgroundSelf-citationGravitational vacuum polarization. IV. Energy conditions in the Unruh vacuum
Visser, M. (1997) · Physical Review D · doi:10.1103/physrevd.56.936 · Cited by 107
Self-citationGravitational vacuum polarization. I. Energy conditions in the Hartle-Hawking vacuum
Visser, M. (1996) · Physical Review D · doi:10.1103/physrevd.54.5103 · Cited by 106
Self-citation
Cited by
Harko, T., Lobo, F. S. N., Nojiri, S., & Odintsov, S. D. (2011) · Physical Review D · doi:10.1103/physrevd.84.024020 · Cited by 2,772
Self-citationBorn–Infeld inspired modifications of gravity
Beltrán Jiménez, J., Heisenberg, L., Olmo, G. J., & Rubiera-Garcia, D. (2018) · Physics Reports · doi:10.1016/j.physrep.2017.11.001 · Cited by 292
Metadata
- Authors
- Garcia, N. M., Lobo, F. S. N., & Visser, M.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2012-08-15
- Volume
- 86
- Issue
- 4
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2020632237
- Cited by
- 212
- References
- 5
- FWCI
- 5.32
- Type
- journal article
- Language
- en
- Open access
- green
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- Garcia, N. M., Lobo, F. S. N., & Visser, M. (2012). Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity. Physical Review D. https://doi.org/10.1103/physrevd.86.044026
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