Analytical solutions to force-free electrodynamics around black holes are fundamental for building simple models of accretion disk and jet dynamics. We present a (nonexhaustive) classification of complex highest-weight solutions to the force-free equations in the near-horizon region of the extremal Kerr black hole. Bounds on the weights of solutions are derived from the finiteness of energy and the existence of a variational principle. Two classes of real magnetically dominated solutions, respectively axisymmetric and nonaxisymmetric, are described which admit finite energy with respect to the asymptotically flat observer. Subtleties related to the velocity of light surface in the near-horizon region are discussed.
Physical Review D
- Pub Date:
- January 2016
- High Energy Physics - Theory;
- Astrophysics - High Energy Astrophysical Phenomena;
- General Relativity and Quantum Cosmology
- Erratum version, 50 pages, 6 figures