The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
Possible wormholes in a brane world
Open accessAbstract
The condition $R=0,$ where R is the four-dimensional scalar curvature, is used for obtaining a large class (with an arbitrary function of $r)$ of static, spherically symmetric Lorentzian wormhole solutions. The wormholes are globally regular and traversable, can have throats of arbitrary size and can be both symmetric and asymmetric. These solutions may be treated as possible wormhole solutions in a brane world since they satisfy the vacuum Einstein equations on the brane where effective stress-energy is induced by interaction with the bulk gravitational field. Some particular examples are discussed.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Large Mass Hierarchy from a Small Extra Dimension
Randall, L., & Sundrum, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3370 · Cited by 9,227
An Alternative to Compactification
Randall, L., & Sundrum, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.4690 · Cited by 7,217
Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity
Morris, M. S., & Thorne, K. S. (1988) · American Journal of Physics · doi:10.1119/1.15620 · Cited by 2,939
Heterotic and Type I string dynamics from eleven dimensions
Hořava, P., & Witten, E. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(95)00621-4 · Cited by 1,984
Eleven-dimensional supergravity on a manifold with boundary
Hořava, P., & Witten, E. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(96)00308-2 · Cited by 1,626
Wormholes, Time Machines, and the Weak Energy Condition
Morris, M. S., Thorne, K. S., & Yurtsever, U. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.1446 · Cited by 1,609
The Einstein equations on the 3-brane world
Shiromizu, T., Maeda, K.-I., & Sasaki, M. (2000) · Physical Review D · doi:10.1103/physrevd.62.024012 · Cited by 1,402
Lorentzian Wormholes: From Einstein to Hawking
(1996) · Choice Reviews Online · doi:10.5860/choice.33-5168 · Cited by 1,319
Ether flow through a drainhole: A particle model in general relativity
Ellis, H. G. (1973) · Journal of Mathematical Physics · doi:10.1063/1.1666161 · Cited by 935
Large and infinite extra dimensions
Rubakov, V. A. (2001) · Physics-Uspekhi · doi:10.1070/pu2001v044n09abeh001000 · Cited by 619
Dynamic wormholes, antitrapped surfaces, and energy conditions
Hochberg, D., & Visser, M. (1998) · Physical Review D · doi:10.1103/physrevd.58.044021 · Cited by 334
New black holes in the brane world?
Casadio, R., Fabbri, A., & Mazzacurati, L. (2002) · Physical Review D · doi:10.1103/physrevd.65.084040 · Cited by 226
Wormholes in the Brans-Dicke theory of gravitation
Agnese, A. G., & La Camera, M. (1995) · Physical Review D · doi:10.1103/physrevd.51.2011 · Cited by 212
On a class of stable, traversable Lorentzian wormholes in classical general relativity
Armendáriz-Picón, C. (2002) · Physical Review D · doi:10.1103/physrevd.65.104010 · Cited by 210
Scalar fields, energy conditions and traversable wormholes
Barceló, C., & Visser, M. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/18/318 · Cited by 183
Traversable wormholes from massless conformally coupled scalar fields
Barceló, C., & Visser, M. (1999) · Physics Letters B · doi:10.1016/s0370-2693(99)01117-x · Cited by 179
Large and infinite extra dimensions
Rubakov, V. A. (2001) · Uspekhi Fizicheskih Nauk · doi:10.3367/ufnr.0171.200109a.0913 · Cited by 171
Charged brane-world black holes
Chamblin, A., Reall, H. S., Shinkai, H.-A., & Shiromizu, T. (2001) · Physical Review D · doi:10.1103/physrevd.63.064015 · Cited by 158
Self-Consistent Wormhole Solutions of Semiclassical Gravity
Hochberg, D., Popov, A. A., & Sushkov, S. V. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2050 · Cited by 148
BULK SHAPE OF BRANE-WORLD BLACK HOLES
Roberto Casadio, A., & Mazzacurati, L. (2003) · Modern Physics Letters A · doi:10.1142/s0217732303009794 · Cited by 112
R=0 spacetimes and self-dual Lorentzian wormholes
DADHICH, N. K., Kar, S., Mukherjee, S., & Visser, M. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.65.064004 · Cited by 88
Geometric wormhole throatsPreprint
Visser, M., & Hochberg, D. (1997) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9710001 · Cited by 72
Induced wormholes due to quantum effects of spherically reduced matter in large N approximation
Nojiri, S., Obregón, O., Odintsov, S. D., et al. (1999) · Physics Letters B · doi:10.1016/s0370-2693(99)00095-7 · Cited by 61
Scalar-tensor gravity and conformal continuations
Bronnikov, K. A. (2002) · Journal of Mathematical Physics · doi:10.1063/1.1519667 · Cited by 56
Self-citationStress-energy of a quantized scalar field in static wormhole spacetimes
Taylor, B. E., Hiscock, W. A., & Anderson, P. R. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.6116 · Cited by 47
Cited by
Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution
Nojiri, S., Odintsov, S. D., & Oikonomou, V. K. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.06.001 · Cited by 2,734
Maldacena, J., & Maoz, L. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/02/053 · Cited by 426
Metadata
- Authors
- Bronnikov, K. A., & Kim, S.-W.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2003-03-31
- Volume
- 67
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2002365735
- Cited by
- 279
- References
- 25
- FWCI
- 3.48
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
