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Spherically Symmetrical Models in General Relativity
Open accessAbstract
The field equations of general relativity are applied to pressure-free spherically symmetrical systems of particles. The equations of motion are determined without the use of approximations and are compared with the Newtonian equations. The total energy is found to be an important parameter, determining the geometry of 3-space and the ratio of effective gravitating to invariant mass. The Doppler shift is discussed and is found to contain both the velocity shift and the Einstein shift combined in a rather complex expression.
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Citations
Cited by
Time functions in numerical relativity: Marginally bound dust collapse
Eardley, D. M., & Smarr, L. (1979) · Physical Review D · doi:10.1103/physrevd.19.2239 · Cited by 486
Testing general relativity in cosmology
Ishak, M. (2019) · Living Reviews in Relativity · doi:10.1007/s41114-018-0017-4 · Cited by 449
Dynamics of Pressure-Free Matter in General Relativity
Ellis, G. F. R. (1967) · Journal of Mathematical Physics · doi:10.1063/1.1705331 · Cited by 411
The acceleration of the universe and the physics behind it
Uzan, J.-P. (2007) · General Relativity and Gravitation · doi:10.1007/s10714-006-0385-z · Cited by 168
Maeda, H. (2006) · Physical Review D · doi:10.1103/physrevd.73.104004 · Cited by 136
Metadata
- Authors
- Bondi, H.
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 1947-12-01
- Volume
- 107
- Issue
- 5-6
- Pages
- 410-425
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W2044206065
- Cited by
- 872
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Spherically Symmetrical Models in General Relativity. https://app.cochat.ai/papers/10.1093/mnras/107.5-6.410
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- Bondi, H. (1947). Spherically Symmetrical Models in General Relativity. Monthly Notices of the Royal Astronomical Society. https://doi.org/10.1093/mnras/107.5-6.410
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.
