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Some new stationary axisymmetric asymptotically flat space-times obtained from Painlevé transcendents. (English) Zbl 0649.53033

The authors investigate the separable solutions of the stationary axisymmetric problem in cylindrical coordinates. Furthermore, they determine the behaviour of those solutions near the axis and asymptotically. They obtain two families of solutions which, away from the symmetry axis, become asymptotically flat.
Reviewer: K.L.Duggal

MSC:

53B50 Applications of local differential geometry to the sciences
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
35Q99 Partial differential equations of mathematical physics and other areas of application
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