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 |