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=−cosθ. With coordinate transformation, the above equation can be giv...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016-09-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316303008 |
| _version_ | 1819111692500467712 |
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| author | Xiao-Bo Gong Yi Liao Zhao-Yi Xu |
| author_facet | Xiao-Bo Gong Yi Liao Zhao-Yi Xu |
| author_sort | Xiao-Bo Gong |
| collection | DOAJ |
| description | 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=−cosθ. With coordinate transformation, the above equation can be given as s,yy+s,zz+D(s(y,z),y,z)=0. Using this form, we prove that the Meissner effect is not possessed by a KBH–FFM with the condition dω/dAϕ⩽0 and Hϕ(dHϕ/dAϕ)⩾0, here Aϕ is the ϕ component of the vector potential A→, ω is the angular velocity of magnetic fields and Hϕ corresponds to twice the poloidal electric current. |
| first_indexed | 2024-12-22T04:01:39Z |
| format | Article |
| id | doaj.art-e88695e6417d494c9ed5f0c9df3c27b9 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-22T04:01:39Z |
| publishDate | 2016-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-e88695e6417d494c9ed5f0c9df3c27b92022-12-21T18:39:44ZengElsevierPhysics Letters B0370-26931873-24452016-09-01760C11211610.1016/j.physletb.2016.06.047A mathematical form of force-free magnetosphere equation around Kerr black holes and its application to Meissner effectXiao-Bo Gong0Yi Liao1Zhao-Yi Xu2Yunnan Observatory, Chinese Academy of Sciences, Kunming, 650011, ChinaDepartment of Physics, South University of Science and Technology of China, Shenzhen, 518055, ChinaYunnan Observatory, Chinese Academy of Sciences, Kunming, 650011, ChinaBased 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=−cosθ. With coordinate transformation, the above equation can be given as s,yy+s,zz+D(s(y,z),y,z)=0. Using this form, we prove that the Meissner effect is not possessed by a KBH–FFM with the condition dω/dAϕ⩽0 and Hϕ(dHϕ/dAϕ)⩾0, here Aϕ is the ϕ component of the vector potential A→, ω is the angular velocity of magnetic fields and Hϕ corresponds to twice the poloidal electric current.http://www.sciencedirect.com/science/article/pii/S0370269316303008 |
| spellingShingle | Xiao-Bo Gong Yi Liao Zhao-Yi Xu A mathematical form of force-free magnetosphere equation around Kerr black holes and its application to Meissner effect Physics Letters B |
| title | A mathematical form of force-free magnetosphere equation around Kerr black holes and its application to Meissner effect |
| title_full | A mathematical form of force-free magnetosphere equation around Kerr black holes and its application to Meissner effect |
| title_fullStr | A mathematical form of force-free magnetosphere equation around Kerr black holes and its application to Meissner effect |
| title_full_unstemmed | A mathematical form of force-free magnetosphere equation around Kerr black holes and its application to Meissner effect |
| title_short | A mathematical form of force-free magnetosphere equation around Kerr black holes and its application to Meissner effect |
| title_sort | mathematical form of force free magnetosphere equation around kerr black holes and its application to meissner effect |
| url | http://www.sciencedirect.com/science/article/pii/S0370269316303008 |
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