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Singular manifold analysis of the Einstein vacuum field equations

✍ Scribed by Metin Gürses


Publisher
Springer
Year
1986
Tongue
English
Weight
330 KB
Volume
11
Category
Article
ISSN
0377-9017

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✦ Synopsis


The Painlev6 property of the vacuum Einstein field equations is investigated. It is observed that the field equations possess this property when spacetime admits commuting, nonnuU two Killing vector fields.


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Isovector fields and similarity solution
✍ S.K. Attallah; M.F. El-Sabbagh; A.T. Ali 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 183 KB

The isovector fields (infinitesimal generators of Lie groups) of Einstein vacuum equations for stationary axially symmetric rotating fields, in conventional form, that is a coupled system of nonlinear partial differential equations (PDEs) of second order are derived using the geometric prolongation