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Constraints on force-free magnetospheres for Kerr(-AdS) black holes with non-null currents

2015/05/18 by Xun Wang, Wang, Xun
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.48550/arxiv.1505.04781

23 pages; 1 figure

arxiv created 2015/05/18 · openalex publication_date 2015/05/18 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Force-free magnetospheres are of particular interest due to their role in energy extraction from Kerr black holes via the Blandford-Znajek process. Recently, a class of exact analytic solutions has been found with null currents [1,2]. In this paper, we elaborate some constraints on various force-free magnetosphere solutions with non-null currents, utilizing the Newman-Penrose electromagnetic scalars to categorize a range of different cases. We perform a thorough search for stationary and axisymmetric (SAS) solutions, and find that putative SAS solutions within the categories considered generically exhibit singularities on the horizon. We also present some non-SAS solutions found via spacetime-dependent electric-magnetic duality rotations. Additional special solutions in flat, pure AdS and near-horizon-extreme-Kerr (NHEK) spacetimes are also presented.

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