%0 Journal Article
%T Force-Free Electrodynamics around Extreme Kerr Black Holes
%A Alexandru Lupsasca
%A Maria J. Rodriguez
%A Andrew Strominger
%J Physics
%D 2014
%I arXiv
%R 10.1007/JHEP12(2014)185
%X Plasma-filled magnetospheres can extract energy from a spinning black hole and provide the power source for a variety of observed astrophysical phenomena. These magnetospheres are described by the highly nonlinear equations of force-free electrodynamics, or FFE. Typically these equations can only be solved numerically. In this paper we consider the FFE equations very near the horizon of a maximally spinning black hole, where the energy extraction takes place. Thanks to an enhanced conformal symmetry which appears in this near-horizon region, we are able to analytically obtain several infinite families of exact solutions of the full nonlinear equations.
%U http://arxiv.org/abs/1406.4133v2