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A Method for Generating Solutions of Einstein's Equations
Abstract
A method is described for constructing, from any source-free solution of Einstein's equations which possesses a Killing vector, a one-parameter family of new solutions. The group properties of this transformation are discussed. A new formalism is given for treating space-times having a Killing vector.
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Cited by
General relativistic axisymmetric rotating systems: Coordinates and equations
Bardeen, J. M., & Piran, T. (1983) · Physics Reports · doi:10.1016/0370-1573(83)90069-8 · Cited by 114
On the metric operator for quantum cylindrical waves
Varadarajan, M. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/1/313 · Cited by 18
Metadata
- Authors
- Geroch, R.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1971-06-01
- Volume
- 12
- Issue
- 6
- Pages
- 918-924
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W1984673041
- Cited by
- 673
- References
- 0
- FWCI
- 5.54
- Type
- journal article
- Language
- en
- Open access
- closed
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- Geroch, R. (1971). A Method for Generating Solutions of Einstein's Equations. Journal of Mathematical Physics. https://doi.org/10.1063/1.1665681
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.
