Cartan–Karlhede algorithm: Difference between revisions

Revision as of 17:21, 6 February 2006

Revision as of 22:58, 12 February 2006

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*{{Book reference | Author=Stephani, Hans; Kramer, Dietrich; MacCallum, Malcom; Hoenselaers, Cornelius; Hertl, Eduard| Title=Exact Solutions to Einstein's Field Equations (2nd ed.) | Publisher=Cambridge: Cambridge University Press | Year=2003 | ID=ISBN 0-521-46136-7}} Chapter 9 offers an excellent overview of the basic idea of the Cartan method and contains a useful table of upper bounds, more extensive than the one above.

*{{Journal_referencecite journal | Authorauthor=Pollney, D.; Skea, J. F.; and d'Inverno, Ray | Titletitle=Classifying geometries in general relativity (three parts) | Journaljournal=Class. Quant. Grav. | Yearyear=2000 | Volumevolume=17 | Pagespages=643-663, 2267-2280, 2885-2902}} A research paper describing the authors' database holding classifications of exact solutions up to local isometry.

*{{Book reference | Author=Olver, Peter J. | Title=Equivalents, Invariants, and Symmetry | Publisher=Cambridge:Cambridge University Press | Year=1995 | ID=ISBN 0-521-47811-1}} An introduction to the Cartan method, which has wide applications far beyond general relativity or even Riemannian geometry.