Electromagnetic sources distributed on shells in a Schwarzschild background
In the Introduction we briefly recall our previous results on stationary electromagnetic fields on black hole backgrounds and the use of spin-weighted spherical harmonics. We then discuss static electric and magnetic test fields in a Schwarzschild background using some of these results. As sources w...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2011
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/9108
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/9108
- Palabra clave:
- Electrostatics in curved backgrounds
Monopole and dipole layers
- Rights
- restrictedAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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Electromagnetic sources distributed on shells in a Schwarzschild background |
| title |
Electromagnetic sources distributed on shells in a Schwarzschild background |
| spellingShingle |
Electromagnetic sources distributed on shells in a Schwarzschild background Electrostatics in curved backgrounds Monopole and dipole layers |
| title_short |
Electromagnetic sources distributed on shells in a Schwarzschild background |
| title_full |
Electromagnetic sources distributed on shells in a Schwarzschild background |
| title_fullStr |
Electromagnetic sources distributed on shells in a Schwarzschild background |
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Electromagnetic sources distributed on shells in a Schwarzschild background |
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Electromagnetic sources distributed on shells in a Schwarzschild background |
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Electrostatics in curved backgrounds Monopole and dipole layers |
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Electrostatics in curved backgrounds Monopole and dipole layers |
| description |
In the Introduction we briefly recall our previous results on stationary electromagnetic fields on black hole backgrounds and the use of spin-weighted spherical harmonics. We then discuss static electric and magnetic test fields in a Schwarzschild background using some of these results. As sources we do not consider point charges or current loops like in previous works, rather, we analyze spherical shells with smooth electric or magnetic charge distributions as well as electric or magnetic dipole distributions depending on both angular coordinates. Particular attention is paid to the discontinuities of the field, of the 4-potential, and their relation to the source. © 2011 Springer Science+Business Media, LLC. |
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2011 |
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2011 |
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General Relativity and Gravitation; Vol. 43, Núm. 12; pp. 3301-3312 |
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00017701 |
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10.1007/s10714-011-1234-2 |
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Universidad Tecnológica de Bolívar |
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General Relativity and Gravitation; Vol. 43, Núm. 12; pp. 3301-3312 00017701 10.1007/s10714-011-1234-2 Universidad Tecnológica de Bolívar Repositorio UTB 24504208500 35562832600 25225467000 |
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eng |
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2020-03-26T16:32:58Z2020-03-26T16:32:58Z2011General Relativity and Gravitation; Vol. 43, Núm. 12; pp. 3301-331200017701https://hdl.handle.net/20.500.12585/910810.1007/s10714-011-1234-2Universidad Tecnológica de BolívarRepositorio UTB245042085003556283260025225467000In the Introduction we briefly recall our previous results on stationary electromagnetic fields on black hole backgrounds and the use of spin-weighted spherical harmonics. We then discuss static electric and magnetic test fields in a Schwarzschild background using some of these results. As sources we do not consider point charges or current loops like in previous works, rather, we analyze spherical shells with smooth electric or magnetic charge distributions as well as electric or magnetic dipole distributions depending on both angular coordinates. Particular attention is paid to the discontinuities of the field, of the 4-potential, and their relation to the source. © 2011 Springer Science+Business Media, LLC.Yukawa Institute for Theoretical Physics, Kyoto University Departamento Administrativo de Ciencia, Tecnología e Innovación, COLCIENCIAS Univerzita Karlova v PrazeAcknowledgments We thank Tomáš Ledvinka for discussions. JB acknowledges the partial support from Grant no. GACˇ R 202/09/00772 of the Czech Republic, of Grants no. LC06014 and no. MSM0021620860 of the Ministry of Education. NG was financially supported by the PhD-student Grant no. GAUK. 22708 and no. GACˇ R 205/09/H033. JB and NG are also grateful to the Albert Einstein Institute in Golm for the kind hospitality. A. C. G-P. acknowledges the hospitality of the Institute of Theoretical Physics, Charles University (Prague) and the financial support from COLCIENCIAS, Colombia.Recurso electrónicoapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_16echttps://www.scopus.com/inward/record.uri?eid=2-s2.0-81555211144&doi=10.1007%2fs10714-011-1234-2&partnerID=40&md5=511538f1247c03df354be140d6cd38d3Electromagnetic sources distributed on shells in a Schwarzschild backgroundinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Electrostatics in curved backgroundsMonopole and dipole layersGürlebeck N.Bičák J.Gutiérrez-Piñeres A.C.Goldberg, J.N., Macfarlane, A.J., Newman, E.T., Rohrlich, F., Sudarshan, E.C.G., Spin-s spherical harmonics and {eth} (1967) J. Math. Phys., 8, p. 2155Newman, E.T., (2002) A biased and personal description of GR at Syracuse University, pp. 1951-1961. , http://www.phy.syr.edu/faculty/Goldberg/GRHistory3Ted.dvi.pdfBičák, J., Slavík, J., Non-linear electrodynamics in the Newman-Penrose formalism (1975) Acta Phys. Pol., B6, p. 489Newman, E.T., Penrose, R., 10 exact gravitationally-conserved quantities (1965) Phys. Rev. Lett., 15 (6), p. 231Glass, E.N., Goldberg, J.N., Newman-Penrose constants and their invariant transformations (1970) J. Math. Phys., 11, p. 3400Goldberg, J.N., Conservation of the Newman-Penrose conserved quantities (1972) Phys. Rev. Lett., 28 (21), p. 1400Teukolsky, S.A., Perturbations of a rotating black hole. I. Fundamental equations for gravitational, electromagnetic, and neutrino-field perturbations (1973) Astrophys. J., 185, p. 635Bičák, J., Dvořák, L., Stationary electromagnetic fields around black holes. I. General solutions and the fields of some special sources near a Schwarzschild black hole (1977) Czech. J. Phys., 27, p. 127Bičák, J., Dvořák, L., Stationary electromagnetic fields around black holes. II. General solutions and the fields of some special sources near a Kerr black hole (1976) Gen. Relativ. Gravit., 7, p. 959Bičák, J., On the theories of the interacting perturbations of the Reissner-Nordström black hole (1979) Czech. J. Phys., 29, p. 945Bičák, J., Dvořák, L., Stationary electromagnetic fields around black holes. III. General solutions and the fields of current loops near the Reissner-Nordström black hole (1980) Phys. Rev. D, 22, p. 2933Bičák, J., Stuchlík, Z., Šob, M., Scalar fields around a charged, rotating black hole (1978) Czech. J. Phys., 28, p. 121Thorne, K.S., Price, R.H., Macdonald, D.A., (1986) Black holes: The membrane paradigm, , http://www.worldcat.org/oclc/13759977, Yale University PressPunsly, B., (2008) Black Hole Gravitohydrodynamics, , Berlin: SpringerBičák, J., Ledvinka, T., Electromagnetic fields around black holes and Meissner effect (2000) Nuov. Cim. B Serie, 115, p. 739Chamblin, A., Emparan, R., Gibbons, G.W., Superconducting p-branes and extremal black holes (1998) Phys. Rev. D, 58 (8), p. 084009Bičák, J., Gürlebeck, N., Spherical gravitating condensers in general relativity (2010) Phys. Rev. D, 81 (10), p. 104022Gürlebeck, N., Bičák, J., Gutiérrez-Piñeres, A.C., Monopole and dipole layers in curved spacetimes: formalism and examples (2011) Phys. Rev. D, 83 (12), p. 124023Jackson, J.D., (1998) Classical Electrodynamics, , 3rd edn., New York: WileyKuchař, K., Charged shells in general relativity and their gravitational collapse (1968) Czech. J. Phys., 18, p. 435Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G., (1953) Higher Transcendental Functions, I. , New York: McGraw-Hill Book Companyhttp://purl.org/coar/resource_type/c_6501THUMBNAILMiniProdInv.pngMiniProdInv.pngimage/png23941https://repositorio.utb.edu.co/bitstream/20.500.12585/9108/1/MiniProdInv.png0cb0f101a8d16897fb46fc914d3d7043MD5120.500.12585/9108oai:repositorio.utb.edu.co:20.500.12585/91082021-02-02 14:08:50.926Repositorio Institucional UTBrepositorioutb@utb.edu.co |