Superposition of Weyl solutions: the equilibrium forces

Abstract

Solutions to the Einstein equation that represent the superposition of static\nisolated bodies with axially symmetry are presented. The equations nonlinearity\nyields singular structures (strut and membranes) to equilibrate the bodies. The\nforce on the strut like singularities is computed for a variety of situations.\nThe superposition of a ring and a particle is studied in some detail\n