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Hertz potential formalism for force-free electrodynamics and its application to Brennan-Gralla-Jacobson solutions
He, Xiaokai1,2,3; Cao, Zhoujian4
2016-03-01
Source PublicationINTERNATIONAL JOURNAL OF MODERN PHYSICS D
ISSN0218-2718
Volume25Issue:3Pages:17
AbstractThe Hertz potential is a powerful tool for the source-free electrodynamics. Especially for the algebraically special spacetime background, the Hertz potential formalism simplifies the Maxwell equations quite much. In astrophysics, strong electric-magnetic field is very common. Force-free electrodynamics is a good approximation for strong enough electric-magnetic field compared to the inertial energy of the involved plasma. For example, the force-free model has been extensively used to describe the magnetosphere of stars in the universe. In this paper, we extend the Hertz potential formalism to the force-free electrodynamics. The Hertz potential formalism simplifies the force-free dynamical equations as much as that in the source-free case. As an application, we use the Hertz potential formalism to the Schwarzschild background. And the Brennan-Gralla-Jacobson solutions are recovered straightforwardly.
KeywordHertz potential force-free electrodynamics exact solution
DOI10.1142/S0218271816500395
Language英语
Funding ProjectNSFC[11375260] ; NSFC[11401199] ; Research Foundation of Education Bureau of Hunan Province, China[14C0254]
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000372550100014
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22378
Collection应用数学研究所
Corresponding AuthorCao, Zhoujian
Affiliation1.Hunan First Normal Univ, Sch Math & Computat Sci, Changsha 410205, Hunan, Peoples R China
2.Hunan Normal Univ, Inst Phys, Changsha 410081, Hunan, Peoples R China
3.Hunan Normal Univ, Dept Phys, Changsha 410081, Hunan, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
He, Xiaokai,Cao, Zhoujian. Hertz potential formalism for force-free electrodynamics and its application to Brennan-Gralla-Jacobson solutions[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS D,2016,25(3):17.
APA He, Xiaokai,&Cao, Zhoujian.(2016).Hertz potential formalism for force-free electrodynamics and its application to Brennan-Gralla-Jacobson solutions.INTERNATIONAL JOURNAL OF MODERN PHYSICS D,25(3),17.
MLA He, Xiaokai,et al."Hertz potential formalism for force-free electrodynamics and its application to Brennan-Gralla-Jacobson solutions".INTERNATIONAL JOURNAL OF MODERN PHYSICS D 25.3(2016):17.
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