An Infinite Family of Magnetized Morgan-Morgan Relativistic Thin Disks
Applying the Horský-Mitskievitch conjecture to the empty space solutions of Morgan and Morgan due to the gravitational field of a finite disk, we have obtained the corresponding solutions of the Einstein-Maxwell equations. The resulting expressions are simply written in terms of oblate spheroidal co...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2012
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/9099
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/9099
- Palabra clave:
- Einstein Maxwell equations
Exact solutions
Relativistic disks
- Rights
- restrictedAccess
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- http://creativecommons.org/licenses/by-nc-nd/4.0/
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An Infinite Family of Magnetized Morgan-Morgan Relativistic Thin Disks |
| title |
An Infinite Family of Magnetized Morgan-Morgan Relativistic Thin Disks |
| spellingShingle |
An Infinite Family of Magnetized Morgan-Morgan Relativistic Thin Disks Einstein Maxwell equations Exact solutions Relativistic disks |
| title_short |
An Infinite Family of Magnetized Morgan-Morgan Relativistic Thin Disks |
| title_full |
An Infinite Family of Magnetized Morgan-Morgan Relativistic Thin Disks |
| title_fullStr |
An Infinite Family of Magnetized Morgan-Morgan Relativistic Thin Disks |
| title_full_unstemmed |
An Infinite Family of Magnetized Morgan-Morgan Relativistic Thin Disks |
| title_sort |
An Infinite Family of Magnetized Morgan-Morgan Relativistic Thin Disks |
| dc.subject.keywords.none.fl_str_mv |
Einstein Maxwell equations Exact solutions Relativistic disks |
| topic |
Einstein Maxwell equations Exact solutions Relativistic disks |
| description |
Applying the Horský-Mitskievitch conjecture to the empty space solutions of Morgan and Morgan due to the gravitational field of a finite disk, we have obtained the corresponding solutions of the Einstein-Maxwell equations. The resulting expressions are simply written in terms of oblate spheroidal coordinates and the solutions represent fields due to magnetized static thin disk of finite extension. Now, although the solutions are not asymptotically flat, the masses of the disks are finite and the energy-momentum tensor agrees with the energy conditions. Furthermore, the magnetic field and the circular velocity show an acceptable physical behavior. © 2011 Springer Science+Business Media, LLC. |
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2012 |
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2012 |
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2020-03-26T16:32:56Z |
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2020-03-26T16:32:56Z |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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Artículo |
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International Journal of Theoretical Physics; Vol. 51, Núm. 6; pp. 1737-1752 |
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00207748 |
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https://hdl.handle.net/20.500.12585/9099 |
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10.1007/s10773-011-1051-0 |
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Universidad Tecnológica de Bolívar |
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Repositorio UTB |
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25225467000 7202571265 |
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International Journal of Theoretical Physics; Vol. 51, Núm. 6; pp. 1737-1752 00207748 10.1007/s10773-011-1051-0 Universidad Tecnológica de Bolívar Repositorio UTB 25225467000 7202571265 |
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https://hdl.handle.net/20.500.12585/9099 |
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eng |
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2020-03-26T16:32:56Z2020-03-26T16:32:56Z2012International Journal of Theoretical Physics; Vol. 51, Núm. 6; pp. 1737-175200207748https://hdl.handle.net/20.500.12585/909910.1007/s10773-011-1051-0Universidad Tecnológica de BolívarRepositorio UTB252254670007202571265Applying the Horský-Mitskievitch conjecture to the empty space solutions of Morgan and Morgan due to the gravitational field of a finite disk, we have obtained the corresponding solutions of the Einstein-Maxwell equations. The resulting expressions are simply written in terms of oblate spheroidal coordinates and the solutions represent fields due to magnetized static thin disk of finite extension. Now, although the solutions are not asymptotically flat, the masses of the disks are finite and the energy-momentum tensor agrees with the energy conditions. Furthermore, the magnetic field and the circular velocity show an acceptable physical behavior. © 2011 Springer Science+Business Media, LLC.Departamento Administrativo de Ciencia, Tecnología e Innovación, COLCIENCIASA.C. G.-P. wants to acknowledge 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-s2.0-84860603769&doi=10.1007%2fs10773-011-1051-0&partnerID=40&md5=b8fd40110427cf05a683adfb0838891aAn Infinite Family of Magnetized Morgan-Morgan Relativistic Thin Disksinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Einstein Maxwell equationsExact solutionsRelativistic disksGutiérrez-Piñeres A.C.González G.A.Bonnor, W.B., Sackfield, A., (1968) Commun. Math. Phys., 8, p. 338Morgan, T., Morgan, L., (1969) Phys. Rev., 183, p. 1097Morgan, L., Morgan, T., (1970) Phys. Rev. D, Part. Fields, 2, p. 2756Voorhees, B.H., (1972) Phys. Rev. D, Part. 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Soc., 280, p. 1007González, G.A., Letelier, P.S., (2000) Phys. Rev. D, Part. Fields, 62 (6). , 064025Lemos, J.P.S., Letelier, P.S., (1993) Class. Quantum Gravity, 10, pp. L75Lemos, J.P.S., Letelier, P.S., (1994) Phys. Rev. D, Part. Fields, 49, p. 5135Lemos, J.P.S., Letelier, P.S., (1996) Int. J. Mod. Phys. D, 5, p. 53Semerák, O., Žáček, M., (2000) Class. Quantum Gravity, 17, p. 1613Semerák, O., (2002) Class. Quantum Gravity, 19, p. 3829Žáček, M., Semerák, O., (2002) Czechoslov. J. Phys., 52, p. 19Semerák, O., (2003) Class. Quantum Gravity, 20, p. 1613Semerák, O., (2004) Class. Quantum Gravity, 21, p. 2203Karas, V., Huré, J., Semerák, O., (2004) Class. Quantum Gravity, 21, p. 1Feinstein, A., Ibañez, J., Lazkoz, R., (1998) Astrophys. J., 495, p. 131Vogt, D., Letelier, P.S., (2003) Phys. Rev. D, Part. Fields, 68 (8). , 084010Ujevic, M., Letelier, P.S., (2004) Phys. Rev. D, Part. 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Phys., 39, p. 957Stephani, H., Kramer, D., Maccallum, M., Hoenselaers, C., Herlt, E., (2003) Exact Solutions of Einstein's Field Equations, , 2nd edn., Cambridge: Cambridge University PressPapapetrou, A., Hamoui, A., (1968) Ann. Inst. Henri Poincaré, a Phys. Théor., 9, p. 179Lichnerowicz, A., (1971) C.R. Acad. Sci., 273, p. 528Taub, A.H., (1980) J. Math. Phys., 21, p. 1423Israel, W., (1966) Nuovo Cim., B, 44, p. 1Israel, W., (1967) Nuovo Cim., B, 48, p. 463Poisson, E., (2004) A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics, , Cambridge: Cambridge University PressRichterek, L., Novotný, J., Horský, J., (2000) Czechoslov. J. Phys., 50, p. 925Richterek, L., Horský, J., (2004) Czechoslov. J. Phys., 54, p. 1451Arfken, G.B., Weber, H.J., (2001) Mathematical Methods for Physicists, , 5th edn., San Diego: Academic PressMorse, P.M., Feshbach, H., (1953) Methods of Theoretical Physics, , International Series in Pure and Applied Physics, New York: McGraw-HillGonzález, G.A., Reina, J.I., (2006) Mon. Not. R. Astron. Soc., 371, p. 1873Semerák, O., (2001) Class. Quantum Gravity, 18, p. 3589Nakahara, M., Brewer, D.F., (2003) Geometry, Topology and Physics, 2nd edn., Bristol: IOPhttp://purl.org/coar/resource_type/c_6501THUMBNAILMiniProdInv.pngMiniProdInv.pngimage/png23941https://repositorio.utb.edu.co/bitstream/20.500.12585/9099/1/MiniProdInv.png0cb0f101a8d16897fb46fc914d3d7043MD5120.500.12585/9099oai:repositorio.utb.edu.co:20.500.12585/90992021-02-02 15:28:55.065Repositorio Institucional UTBrepositorioutb@utb.edu.co |