2014/09/30 by Fan Zhang, Huan Yang, Luis Lehner · 2 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics and Cosmic Phenomena #Black hole (networking) #Classical mechanics #Computer science #Differential equation #Geometry #Magnetosphere #Mathematics #Mechanics #Nonlinear system #Ordinary differential equation #Physics #Plasma #Pulsars and Gravitational Waves Research #Quantum mechanics #Rotational symmetry #Spinning #Symmetry (geometry) #astro-ph.HE #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.90.124009
published as Phys. Rev. D 90, 124009 (2014) · 13 pages, 7 figures
openalex publication_date 2014/12/03 · arxiv created 2016/12/28 · arxiv updated 2016/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The ability of a plasma surrounding spinning black holes to extract rotational energy and power energetic emissions has been recognized as a key astrophysical phenomenon. Important insights into the nature of this process are obtained through the analysis of the interplay between a force-free magnetosphere and the black hole. This task involves solving a complicated system of equations, often requiring complex numerical simulations. Recent analytical attempts at tackling this problem have exploited the fact that the near-horizon region of extreme Kerr (NHEK) is endowed with an enhanced symmetry group. We continue in this direction and show that for some conformally self-similar solutions, the NHEK force-free equations reduce to a single nonlinear ordinary differential equation which is difficult to solve with straightforward integration. We here introduce a new approach specifically tailored to this problem and describe how one can obtain physically meaningful solutions.