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The Physical Interpretation of a Painlevé Transcendent Spacetime

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Mon, 2014-03-31 10:22 — Mohammad Khalil Mohammad Elsaid
Journal Title, Volume, Page: 
Physics Department EMU G. Magosa Mersin 10 (N. Cyprus) Turkey General Relativity and Gravitation. 12/1992; 25(1):81-86. DOI:10.1007/BF00756930
Year of Publication: 
1992
Link: 
http://link.springer.com/article/10.1007%2FBF00756930
Authors: 
M. Halilsoy
Physics Department EMU, G. Magosa, Mersin 10 (N. Cyprus), Turkey
M. El-Said
Physics Department EMU, G. Magosa, Mersin 10 (N. Cyprus), Turkey
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
[email protected]
Preferred Abstract (Original): 

We construct a nondiagonalizable solution of the stationary axially symmetric vacuum Einstein equations involving Painlev transcendents III(V). From the asymptotic behaviour of this solution we identify the corresponding Newtonian potential as that of a modulated line mass at=0, and we identify our transcendental solution as corresponding to a very special differentially rotating modulated line source.