TL;DR
This paper discusses various 3+1 formulations of Magnetodynamics, a force-free approximation useful for studying the magnetospheres of relativistic stars and black holes in curved spacetime.
Contribution
It introduces and analyzes different 3+1 equations for Magnetodynamics applicable to black hole magnetospheres in dynamic spacetime.
Findings
Various forms of Magnetodynamic equations are suitable for curved spacetime.
The 3+1 formulation enables studying black hole magnetospheres.
The paper clarifies the applicability of Magnetodynamics in relativistic astrophysics.
Abstract
The Magnetodynamics, or Force-Free Degenerate Electrodynamics, is recognized as a very useful approximation in studies of magnetospheres of relativistic stars. In this paper we discuss various forms of Magnetodynamic equations which can be used to study magnetospheres of black holes. In particular, we focus on the 3+1 equations which allow for curved and dynamic spacetime.
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