An axially symmetric stationary N-center solution of Einstein's vacuum equations

Abstract

Using the Euclidon method [1–3], a stationary solution of Einstein's vacuum equations was obtained, describing N rotating axially symmetric masses, which in the absence of rotation describes N arbitrary axially symmetric static masses, for example, N Erez-Rosen masses having arbitrary multipole structure or N Zipoy-Voorhees masses on the axis of symmetry, and in the absence of distortion, N Kerr-NUT solutions.