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. 

العنوان

Physics Department EMU G. Magosa Mersin 10 (N. Cyprus) Turkey General Relativity and Gravitation. 12/1992; 25(1):81-86. DOI:10.1007/BF00756930

الناشر

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بلد الناشر

فلسطين

نوع المنشور

Both (Printed and Online)

المجلد

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السنة

1992

الصفحات

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