The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Strings and other distributional sources in general relativity
Abstract
This paper deals with two broad issues: the formulation of a mathematical framework for concentrated sources in general relativity and its application to strings. We isolate a class of those metrics whose curvature tensors are well defined as distributions. It is shown that shells of matter---but neither point particles nor strings---can be described by metrics in this class. This conclusion is examined in more detail for the case of strings. We estimate the errors inherent in certain determinations of the mass per unit length of a cosmic string, and in certain calculations of the gravitational radiation from such a string.
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In the Schwarzschild black hole example, the relevant component of the EMT is well defined in the distributional sense because it does not contain ill-defined products of two distributions, contrary to the general argument [15].
“Contrary to the general argument[15], the EMT is well defined in the distributional sense, since it does not contain ill-defined products of two distributions.”
From Conserved non-Noether charge in general relativity: Physical definition versus Noether’s second theorem (2022) · cites this paper as [15]
For a product metric, the limit of regulating a co-dimension two δ-function singularity is well-defined.
“Although in general, one cannot regulate a co-dimension two δ-function singularity in general relativity, [28], for the particular case of a product metric, the limit is well-defined, as the ambiguity occurs due to nontrivial physical content in the transverse components of the energy-momentum tensor, which are not present in the special case of the product metric.”
From Black holes as bubble nucleation sites (2014) · cites this paper as [28]
Citations
Cites
General relativity without coordinates
Regge, T. (1961) · Il Nuovo Cimento · doi:10.1007/bf02733251 · Cited by 1,477
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Research works printed but not linked: 20
- A. Taub, 1980, J. Math. Phys., 21, 1423, 10.1063/1.524568 · DOI
- P. E. Parker, 1981, J. Math. Phys., 20, 1423, 10.1063/1.524224 · DOI
- W. Israel, 1977, Phys. Rev. D, 15, 935, 10.1103/PhysRevD.15.935 · DOI
- J. Goldberg, 1962, Gravitation, An Introduction to Current Research
- W. Israel, 1966, Nuovo Cimento, 44B, 1, 10.1007/BF02710419 · DOI · Paper page
- K. Kahn, 1971, Nature (London), 229, 185, 10.1038/229185a0 · DOI
- S. Chandrasekhar, 1984, Proc. R. Soc. London, A396, 55, 10.1098/rspa.1984.0108 · DOI
- R. Gott, 1985, Astrophys. J., 282, 4221
- W. Hiscock, 1985, Phys. Rev. D, 31, 3288, 10.1103/PhysRevD.31.3288 · DOI
- R. A. Adams, 1975, Sobolev Spaces
- R. Arnowitt, 1960, Phys. Rev., 120, 321, 10.1103/PhysRev.120.321 · DOI
- D. Garfinkle, 1985, Phys. Rev. D, 32, 1323, 10.1103/PhysRevD.32.1323 · DOI
- J. Traschen, 1986, Phys. Rev. D, 34, 919, 10.1103/PhysRevD.34.919 · DOI
- D. Garfinkle, 1987, Phys. Rev. D, 35, 1124, 10.1103/PhysRevD.35.1124 · DOI
- T. Kibble, 1982, Phys. Lett., 116B, 141, 10.1016/0370-2693(82)90993-5 · DOI
- N. Turok, 1984, Nucl. Phys., B242, 520, 10.1016/0550-3213(84)90407-3 · DOI
- A. Vilenkin, 1984, Astrophys. J., 282, L51, 10.1086/184303 · DOI
- N. Kaiser, 1984, Nature (London), 310, 391, 10.1038/310391a0 · DOI
- B. Bertotti, 1985, Mon. Not. R. Astron. Soc., 203, 945, 10.1093/mnras/203.4.945 · DOI
- G. Feinberg, 1984, Nucl. Phys., B245, 343, 10.1016/0550-3213(84)90436-X · DOI
Cited by
Sorted by citations
Spherically symmetric solutions in higher-derivative gravity
Lü, H., Perkins, A., Pope, C. N., & Stelle, K. S. (2015) · Physical Review D · doi:10.1103/physrevd.92.124019 · Cited by 187
Black holes as bubble nucleation sites
Gregory, R., Moss, I. G., & Withers, B. (2014) · Journal of High Energy Physics · doi:10.1007/jhep03(2014)081 · Cited by 187
Holdom, B., & Ren, J. (2017) · Physical Review D · doi:10.1103/physrevd.95.084034 · Cited by 159
Aoki, S., & Onogi, T. (2022) · International Journal of Modern Physics A · doi:10.1142/s0217751x22501299 · Cited by 12
Metadata
- Authors
- Geroch, R., & Traschen, J.
- Affiliations
- University of Chicago (US)
- ORCID
- Traschen, Jennie
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1987-08-15
- Volume
- 36
- Issue
- 4
- Pages
- 1017-1031
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2064245907
- Cited by
- 408
- References
- 1
- Citations by year
- 2026: 14 · 2025: 8 · 2024: 7 · 2023: 6 · 2022: 12 · 2021: 21 · 2020: 17 · 2019: 32 · 2018: 11 · 2017: 15 · 2016: 16 · 2015: 12 · 2014: 14 · 2013: 7 · 2012: 15
- FWCI
- 11.93
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Geometry Research
- Keywords
- strings, concentrated sources, cosmic strings, mass per unit length, gravitational waves, general relativity
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