A mathematical form of force-free magnetosphere equation around Kerr black holes and its application to Meissner effect

Based on the Lagrangian of the steady axisymmetric force-free magnetosphere (FFM) equation around Kerr black holes (KBHs), we find that the FFM equation can be rewritten in a new form as f,rr/(1−μ2)+f,μμ/Δ+K(f(r,μ),r,μ)=0, where μ=−cos⁡θ. With coordinate transformation, the above equation can be giv...

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Bibliographic Details
Main Authors: Xiao-Bo Gong, Yi Liao, Zhao-Yi Xu
Format: Article
Language:English
Published: Elsevier 2016-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269316303008