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Analytic Properties of Force-free Jets in the Kerr Spacetime. III. Uniform Field Solution
Pan, Zhen1; Yu C(余聪)2,3; Huang, Lei4
Source PublicationASTROPHYSICAL JOURNAL
2017-02-20
Volume836Issue:2
DOI10.3847/1538-4357/aa5c36
Contribution Rank第2完成单位
Indexed BySCI
KeywordGravitation Magnetic Fields Magnetohydrodynamics (Mhd)
Abstract

The structure of the steady axisymmetric force-free magnetosphere of a Kerr black hole (BH) is governed by a second-order partial differential equation of Af depending on two "free" functions Omega(A(phi)) and I(A(phi)), where A(phi) is the f component of the vector potential of the electromagnetic field, O is the angular velocity of the magnetic field lines, and I is the poloidal electric current. In this paper, we investigate the solution uniqueness. Taking the asymptotically uniform field as an example, analytic studies imply that there are infinitely many solutions approaching the uniform field at infinity, while only a unique one is found in general relativistic magnetohydrodynamic simulations. To settle the disagreement, we reinvestigate the structure of the governing equation and numerically solve it with given constraint and boundary conditions. We find that the constraint condition (field lines smoothly crossing the light surface) and boundary conditions at the horizon and at infinity are connected via radiation conditions at horizon and at infinity, rather than being independent. With appropriate constraint and boundary conditions, we numerically solve the governing equation and find a unique solution. Contrary to naive expectations, our numerical solution yields a discontinuity in the angular velocity of the field lines and a current sheet along the last field line crossing the event horizon. We also briefly discuss the applicability of the perturbation approach to solving the governing equation.

Funding ProjectNational Natural Science Foundation of China[11173057] ; National Natural Science Foundation of China[11373064] ; National Natural Science Foundation of China[11521303] ; National Natural Science Foundation of China[11203055] ; Yunnan Natural Science Foundation[2012FB187] ; Yunnan Natural Science Foundation[2014HB048] ; Youth Innovation Promotion Association, CAS ; Chinese Academy of Sciences[XDB09000000] ; Key Laboratory for Radio Astronomy, CAS
Funding OrganizationNational Natural Science Foundation of China[11173057, 11373064, 11521303, 11203055] ; Yunnan Natural Science Foundation[2012FB187, 2014HB048] ; Youth Innovation Promotion Association, CAS ; Chinese Academy of Sciences[XDB09000000] ; Key Laboratory for Radio Astronomy, CAS
Language英语
Subject Area物理学
MOST Discipline Catalogue理学 ; 理学::物理学
SubtypeArticle
PublisherIOP PUBLISHING LTD
Publication PlaceTEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
ISSN0004-637X
URL查看原文
WOS IDWOS:000395797900009
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS KeywordBLANDFORD-ZNAJEK MECHANISM ; BLACK-HOLE MAGNETOSPHERES ; RELATIVISTIC MAGNETOHYDRODYNAMIC SIMULATIONS ; ACTIVE GALACTIC NUCLEI ; GAMMA-RAY BURSTS ; MAGNETIC-FIELD ; ACCRETION DISK ; ROTATIONAL ENERGY ; SCREW INSTABILITY ; PENROSE PROCESS
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Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ynao.ac.cn/handle/114a53/9987
Collection大样本恒星演化研究组
中国科学院天体结构与演化重点实验室
Corresponding AuthorPan, Zhen
Affiliation1.Department of Physics, University of California, One Shields Avenue, Davis, CA 95616, USA
2.Yunnan Observatories, Chinese Academy of Sciences, Kunming 650011, China
3.Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, Kunming 650011, China
4.Key Laboratory for Research in Galaxies and Cosmology, Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai, 200030, China
Recommended Citation
GB/T 7714
Pan, Zhen,Yu C,Huang, Lei. Analytic Properties of Force-free Jets in the Kerr Spacetime. III. Uniform Field Solution[J]. ASTROPHYSICAL JOURNAL,2017,836(2).
APA Pan, Zhen,Yu C,&Huang, Lei.(2017).Analytic Properties of Force-free Jets in the Kerr Spacetime. III. Uniform Field Solution.ASTROPHYSICAL JOURNAL,836(2).
MLA Pan, Zhen,et al."Analytic Properties of Force-free Jets in the Kerr Spacetime. III. Uniform Field Solution".ASTROPHYSICAL JOURNAL 836.2(2017).
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