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On a stationary rotating mass with an arbitrary multipole structure. (English) Zbl 0693.53024

Summary: We present an asymptotically flat solution of the Einstein vacuum field equations which can describe correctly the exterior gravitational field of a rotating mass due to an infinite set of arbitrary multipole moments, and which reduces to the Schwarzschild metric in the static limit.

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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