The physical interpretation of a painlevé transcendent spacetime

Details The physical interpretation of a painlevé transcendent spacetime The physical interpretation of a painlevé transcendent spacetime

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993gregr..25...81h&link_type=abstract

General Relativity and Gravitation, Volume 25, Issue 1, pp.81-86

Physics

Scientific paper

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

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