Nonnull and force-free electromagnetic configurations in Kerr geometry

Force-free electrodynamics (FFE) is known to describe the highly magnetized plasma around pulsars and astrophysical black holes. The equations describing FFE are highly nonlinear, and the task of finding a well-defined analytical solution has been unyielding. However, FFE can also be understood in terms of two-dimensional foliations of the ambient four-dimensional spacetime. The study of the foliations can provide significant insights into the structure of the force-free fields, and such foliations can be exploited to generate new null and nonnull solutions. In this paper, we present several nonnull solutions to the FFE equations in the Kerr spacetime obtained by applying the aforementioned methods of nonnull foliations.