A discontinuous Galerkin-finite difference hybrid method for general relativistic force-free electrodynamics

Magnetospheres of compact objects consist of tenuous, highly magnetized plasma that can be described with the force-free limit of magnetohydrodynamics. Force-free magnetospheres exhibit a wide variety of phenomena ranging from long distance wave propagation to localized dissipation. This diversity necessitates a numerical scheme capable of handling both types of solutions with high accuracy. We present a new code for general relativistic force-free electrodynamics based on the recently developed discontinuous Galerkin-finite difference hybrid method. Providing results from a suite of test problems, we show that our hybrid scheme achieves higher-order convergence in smooth regions while robustly capturing discontinuities such as current sheets.