The structure of superposed Weyl fields

The properties of four superposed static axisymmetric (Weyl) space–times are illustrated by plotting their gravitational field lines and the shapes of their event horizons. The superpositions considered represent multiple Weyl systems, which are the most realistic astrophysically: the Schwarzschild black hole and the Appell ring are chosen as 'background' sources (each of them bears some features of the non -static Kerr source), and the Bach–Weyl ring and the 'annular' disc (inverted first Morgan–Morgan disc) of Lemos & Letelier are considered in their equatorial planes as additional sources. We study the influence of the parameters of additional sources on the fields of the central bodies.