On the equilibrium configuration of two spinning disks in the general theory of relativity (Q1358426)

For two spinning Kerr disks in general relativity at various values of parameters, exact solutions, in which both the struts and the closed timelike lines are away, are constructed. The modified method of construction of exact solutions of the Einstein-Maxwell equations on boundary conditions for Ernst potentials on the regular part of the symmetry axis is applied. In frameworks of exact statement, the authors receive qualitatively the following new effects: the junction of two identical disks at their unlimited growing approach and the formation of the extremal Kerr black hole with the greatest possible rotation momentum; the absence of equilibrium at the configuration of two spinning black holes; the opportunity of existence of equilibrium in a system disk -- black hole in some range of change of intrinsic angular momentum at one of the sources. For any values of the mass of disks and their intrinsic angular momenta, the unique value of distance between them is found, when the equilibrium comes.