Nearhorizon extreme Kerr magnetospheres
Abstract
Analytical solutions to forcefree electrodynamics around black holes are fundamental for building simple models of accretion disk and jet dynamics. We present a (nonexhaustive) classification of complex highestweight solutions to the forcefree equations in the nearhorizon 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 nearhorizon region are discussed.
 Publication:

Physical Review D
 Pub Date:
 January 2016
 DOI:
 10.1103/PhysRevD.93.024035
 arXiv:
 arXiv:1509.07637
 Bibcode:
 2016PhRvD..93b4035C
 Keywords:

 High Energy Physics  Theory;
 Astrophysics  High Energy Astrophysical Phenomena;
 General Relativity and Quantum Cosmology
 EPrint:
 Erratum version, 50 pages, 6 figures