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Exact gravitational field of a string
Abstract
The exact spacetime metric representing the exterior of a static cylindrically symmetric string is found. The geometry is conical, with a deficit angle of 8\ensuremath{\pi}G\ensuremath{\mu}, where \ensuremath{\mu} is the linear energy density of the string. The results of Vilenkin, obtained using linearized gravity, are thus shown to be correct to all orders in G\ensuremath{\mu}. Strings with G\ensuremath{\mu}\ensuremath{\ge}(1/4) are found to collapse the exterior spacetime, resulting in dimensional reduction.
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Citations
Cited by
Black holes in higher dimensional space-times
Myers, R. C., & Perry, M. J. (1986) · Annals of Physics · doi:10.1016/0003-4916(86)90186-7 · Cited by 2,125
Strings and other distributional sources in general relativity
Geroch, R., & Traschen, J. (1987) · Physical Review D · doi:10.1103/physrevd.36.1017 · Cited by 408
Three-dimensional classical spacetimes
Barrow, J. D., Burd, A. B., & Lancaster, D. (1986) · Classical and Quantum Gravity · doi:10.1088/0264-9381/3/4/010 · Cited by 157
Metadata
- Authors
- Hiscock, W. A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1985-06-15
- Volume
- 31
- Issue
- 12
- Pages
- 3288-3290
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2118074319
- Cited by
- 482
- References
- 0
- FWCI
- 27.04
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Exact gravitational field of a string. https://app.cochat.ai/papers/10.1103/physrevd.31.3288
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- Hiscock, W. A. (1985). Exact gravitational field of a string. Physical Review D. https://doi.org/10.1103/physrevd.31.3288
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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.
