The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
Abstract
A method is described by means of which the characteristic initial value problem can be reduced to the Cauchy problem and examples are given of how it can be used in practice. As an application it is shown that the characteristic initial value problem for the Einstein equations in vacuum or with perfect fluid source is well posed when data are given on two transversely intersecting null hypersurfaces. A new discussion is given of the freely specifiable data for this problem.
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Citations
Cites
The Large Scale Structure of Space-Time
Hawking, S. W., & Ellis, G. F. R. (1973) · doi:10.1017/cbo9780511524646 · Cited by 10,624
Methods of Mathematical Physics
Courant, R., Hilbert, D., & Teichmann, T. (1962) · Physics Today · doi:10.1063/1.3057861 · Cited by 1,419
Cited by
Isolated and Dynamical Horizons and Their Applications
Ashtekar, A., & Krishnan, B. (2004) · Living Reviews in Relativity · doi:10.12942/lrr-2004-10 · Cited by 826
The Formation of Black Holes in General Relativity
Christodoulou, D. (2009) · EMS Monographs in Mathematics · doi:10.4171/068 · Cited by 293
Metadata
- Authors
- Rendall, A. D.
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1990-01-08
- Volume
- 427
- Issue
- 1872
- Pages
- 221-239
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2110477814
- Cited by
- 276
- References
- 2
- FWCI
- 4.17
- Type
- journal article
- Language
- en
- Open access
- closed
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- Rendall, A. D. (1990). Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1990.0009
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