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On an axisymmetric solution of the vacuum Einstein equations for a stationary rotating mass. (English) Zbl 0675.53051

Summary: An asymptotically flat solution of the Einstein field equations representing the exterior gravitational field of a stationary rotating mass and reducing to the Schwarzschild metric in the static limit is presented. We show that our solution has en event horizon.

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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