Superposition of Weyl solutions: The equilibrium forces
arXiv:gr-qc/9710122 · doi:10.1088/0264-9381/15/2/015
Abstract
Solutions to the Einstein equation that represent the superposition of static isolated bodies with axially symmetry are presented. The equations nonlinearity yields singular structures (strut and membranes) to equilibrate the bodies. The force on the strut like singularities is computed for a variety of situations. The superposition of a ring and a particle is studied in some detail
31 pages, 7 figures, psbox macro. Submitted to Classical and Quantum Gravity