Nonlinear effects in theory of equilibrium gravitating, rapidly rotating, magnetized barotropic configurations and the gravitational radiation from pulsars

Abstract

Abstract It is shown that the exact equilibrium equation of gravitating, rapidly rotating, magnetized barotropic configurations can be reduced to the system of algebraic equations with a small parameter of order of ratio of magnetic to gravitational energy of the configuration. The essential feature of the system is an existence of the ‘critical” points where even a weak internal magnetic field which is asymmetric with respect to axis of rotation leads to a considerable asymmetric strains of the configuration in question. It is estimated that the intensity of gravitational radiation from millisecond pulsars can increase at ‘critical” points by a factor of 1012 because of the nonlinear effects taking place near these points.