Exact relativistic magnetized haloes around rotating disks

The study of the dynamics of magnetic fields in galaxies is one of important problems in formation and evolution of galaxies. In this paper, we present the exact relativistic treatment of a rotating disk surrounded by a magnetized material halo. The features of the halo and disk are described by the...

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2015
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Universidad Tecnológica de Bolívar
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Repositorio Institucional UTB
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eng
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dc.title.none.fl_str_mv Exact relativistic magnetized haloes around rotating disks
title Exact relativistic magnetized haloes around rotating disks
spellingShingle Exact relativistic magnetized haloes around rotating disks
title_short Exact relativistic magnetized haloes around rotating disks
title_full Exact relativistic magnetized haloes around rotating disks
title_fullStr Exact relativistic magnetized haloes around rotating disks
title_full_unstemmed Exact relativistic magnetized haloes around rotating disks
title_sort Exact relativistic magnetized haloes around rotating disks
description The study of the dynamics of magnetic fields in galaxies is one of important problems in formation and evolution of galaxies. In this paper, we present the exact relativistic treatment of a rotating disk surrounded by a magnetized material halo. The features of the halo and disk are described by the distributional energy-momentum tensor of a general fluid in canonical form. All the relevant quantities and the metric and electromagnetic potentials are exactly determined by an arbitrary harmonic function only. For instance, the generalized Kuzmin-disk potential is used. The particular class of solutions obtained is asymptotically flat and satisfies all the energy conditions. Moreover, the motion of a charged particle on the halo is described. As far as we know, this is the first relativistic model describing analytically the magnetized halo of a rotating disk. © 2015 Antonio C. Gutiérrez-Piñeres and Abraão J. S. Capistrano.
publishDate 2015
dc.date.issued.none.fl_str_mv 2015
dc.date.accessioned.none.fl_str_mv 2019-11-06T19:05:19Z
dc.date.available.none.fl_str_mv 2019-11-06T19:05:19Z
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dc.identifier.citation.none.fl_str_mv Advances in Mathematical Physics; Vol. 2015
dc.identifier.issn.none.fl_str_mv 1687-9120
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12585/8758
dc.identifier.doi.none.fl_str_mv 10.1155/2015/916026
dc.identifier.instname.none.fl_str_mv Universidad Tecnológica de Bolívar
dc.identifier.reponame.none.fl_str_mv Repositorio UTB
identifier_str_mv Advances in Mathematical Physics; Vol. 2015
1687-9120
10.1155/2015/916026
Universidad Tecnológica de Bolívar
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dc.language.iso.none.fl_str_mv eng
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spelling 2019-11-06T19:05:19Z2019-11-06T19:05:19Z2015Advances in Mathematical Physics; Vol. 20151687-9120https://hdl.handle.net/20.500.12585/875810.1155/2015/916026Universidad Tecnológica de BolívarRepositorio UTBThe study of the dynamics of magnetic fields in galaxies is one of important problems in formation and evolution of galaxies. In this paper, we present the exact relativistic treatment of a rotating disk surrounded by a magnetized material halo. The features of the halo and disk are described by the distributional energy-momentum tensor of a general fluid in canonical form. All the relevant quantities and the metric and electromagnetic potentials are exactly determined by an arbitrary harmonic function only. For instance, the generalized Kuzmin-disk potential is used. The particular class of solutions obtained is asymptotically flat and satisfies all the energy conditions. Moreover, the motion of a charged particle on the halo is described. As far as we know, this is the first relativistic model describing analytically the magnetized halo of a rotating disk. © 2015 Antonio C. Gutiérrez-Piñeres and Abraão J. S. Capistrano.Recurso electrónicoapplication/pdfengHindawi Publishing Corporationhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84953307462&doi=10.1155%2f2015%2f916026&partnerID=40&md5=7507f585041f8e3930fb22d8592889baScopus 25225467000Scopus 26530767700Exact relativistic magnetized haloes around rotating disksinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Gutiérrez-Piñeres A.C.Capistrano A.J.S.Krause, M., Magnetic Fields and Halos Inspiral Galaxies, , http://arxiv.org/abs/1401.1317Krause, M., Magnetic fields in spiral galaxies. Highlights of Astronomy (2012) Proceedings of the International Astronomical Union, 10, p. 399Ryu, D., Schleicher, D.R.G., Treumann, R.A., Tsagas, C.G., Widrow, L.M., Magnetic fields in the large-scale structure of the universe (2012) Space Science Reviews, 166 (1-4), pp. 1-35Han, J., Magnetic fields in our Milky Way Galaxy and nearby galaxies (2012) Proceedings of the International Astronomical Union, 8, pp. 213-224Bonnor, W.B., Sackfield, A., The interpretation of some spheroidal metrics (1968) Communications in Mathematical Physics, 8 (4), pp. 338-344Morgan, T., Morgan, L., The gravitational field of a disk (1969) Physical Review, 183 (5). , article 1097Morgan, L., Morgan, T., Gravitational field of shells and disks in general relativity (1970) Physical Review D, 2 (12). , article 2756Lynden-Bell, D., Pineault, S., Astron, R., Relativistic disks-I. Counter rotating disks (1978) Monthly Notices of the Royal Astronomical Society, 185 (4), pp. 679-694Voorhees, B.H., Relativistic disks. I. Background models (1972) Physical Review D, 5 (10), pp. 2413-2418Chamorro, A., Gregory, R., Stewart, J.M., Static axisymmetric discs and gravitational collapse (1987) The Royal Society of London-Series A: Proceedings, 413 (1844), pp. 251-262Letelier, P.S., Oliveira, S.R., Exact self-gravitating disks and rings: A solitonic approach (1987) Journal of Mathematical Physics, 28 (1), pp. 165-170Lemos, J.P.S., Self-similar relativistic discs with pressure (1989) Classical AndQuantum Gravity, 6 (9), pp. 1219-1230Bicak, J., Lynden-Bell, D., Katz, J., Relativistic disks as sources of static vacuum spacetimes (1993) Physical Review D, 47 (10), pp. 4334-4343Bicak, J., Lynden-Bell, D., Pichon, C., Relativistic discs and flat galaxy models (1993) Monthly Notices of the Royal Astronomical Society, 265 (1), pp. 126-144Gonzalez, G.A., Letelier, P.S., Relativistic static thin discs with radial stress support (1999) Classical and Quantum Gravity, 16 (2), pp. 479-494Gonzalez, G.A., Espitia, O.A., Relativistic static thin disks: The counterrotating model (2003) Physical Review. D, 68 (10). , Article ID 104028Gonzalez, G.A., Gutierrez-Pineres, A.C., Vina-Cervantes, V.M., Relativistic static thin dust diskswith an inner edge: An infinite family of newexact solutions (2009) Physical Review D, 79 (12). , Article ID 124048Lynden-Bell, D., Pineault, S., Relativistic disks-II. Selfsimilar disks in rotation (1978) Monthly Notices of the Royal Astronomical Society, 185 (4), pp. 695-712Bicak, J., Ledvinka, T., Relativistic disks as sources of the Kerr metric (1993) Physical Review Letters, 71 (11), pp. 1669-1672Pichon, C., Lynden-Bell, D., New sources for Kerr and other metrics: Rotating relativistic discs with pressure support (1996) Monthly Notices of the Royal Astronomical Society, 280, pp. 1007-1026Gonzalez, G.A., Letelier, P.S., Rotating relativistic thin disks (2000) Physical Review D, 62 (6). , Article ID 064025, 8 pagesGonzalez, G.A., Gutierrez-Pineres, A.C., Stationary axially symmetric relativistic thin discs with nonzero radial pressure (2012) Classical AndQuantumGravity, 29 (13). , Article ID135001Lemos, J.P.S., Letelier, P.S., Superposition of MORgan and MORgan discs with a Schwarzschild black hole (1993) Classical and Quantum Gravity, 10 (6), pp. L75-L78Lemos, J.P.S., Letelier, P.S., Exact general relativistic thin disks around black holes (1994) Physical Review D, 49 (10), pp. 5135-5143Lemos, J.P., Letelier, P.S., Two families of exact disks with a central black hole (1996) International Journal of Modern Physics D: Gravitation, Astrophysics, Cosmology, 5 (1), pp. 53-63Semerak, O., Zacek, M., Gravitating discs around a Schwarzschild black hole: I (2000) Classical and Quantum Gravity, 17 (7), pp. 1613-1626Semerak, O., Thin disc around a rotating black hole, but with support in-between (2002) Classical AndQuantumGravity, 19 (14), pp. 3829-3844Zacek, M., Semerak, O., Gravitating discs around a Schwarzschild black hole II (2002) Czechoslovak Journal of Physics, 52 (1), pp. 19-27Semerak, O., Gravitating discs around a Schwarzschild black hole. III (2003) Classical AndQuantumGravity, 20 (9), pp. 1613-1634Semerak, O., Exact power-law discs around static black holes (2004) Classical and Quantum Gravity, 21 (8), pp. 2203-2218Karas, V., Hure, J., Semerak, O., Gravitating discs around black holes (2004) Classical and Quantum Gravity, 21 (7)Gutierrez-Pineres, A.C., Garcia-Reyes, G., Gonzalez, G.A., Exact relativistic models of thin disks around static black holes in a magnetic field (2014) International Journal of Modern Physics D, 23 (1). , Article ID 1450010, 23 pagesFeinstein, A., Ibanez, J., Lazkoz, R., Disks in expanding FRW universes (1998) The Astrophysical Journal, 495 (1), p. 131Vogt, D., Letelier, P.S., Exact general relativistic perfect fluid disks with halos (2003) Physical Review D, 68. , Article ID 084010Ujevic, M., Letelier, P.S., Stability of general relativistic geometric thin disks (2004) Physical Review D, 70 (8). , Article ID 084015Ledvinka, T., Zofka, M., Bicak, J., Relativistic disks as sources of Kerr-Newman fields (1999) Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, p. 339. , T. Piran and R. Ruffini, EdsGarcia-Reyes, G., Gonzalez, G.A., Rotating and counterrotating relativistic thin disks as sources of stationary electrovacuum spacetimes (2007) Brazilian Journal of Physics, 37 (3), pp. 1094-1105Letelier, P.S., Exact general relativistic disks with magnetic fields (1999) Physical ReviewD, 60 (10). , Article ID104042Gutierrez-Pineres, A.C., Gonzalez, G.A., An infinite family of magnetized morgan-morgan relativistic thin disks (2012) International Journal of Theoretical Physics, 51 (6), pp. 1737-1752Vogt, D., Letelier, P.S., Exact relativistic static charged dust discs and non-axisymmetric structures (2004) Classical AndQuantum Gravity, 21 (14), pp. 3369-3378Katz, J., Bicak, J., Lynden-Bell, D., Disc sources for conformastationary metrics (1999) Classical and Quantum Gravity, 16 (12), pp. 4023-4034Gonzalez, G.A., Gutierrez-Pineres, A.C., Ospina, P.A., Finite axisymmetric charged dust disks in conformastatic spacetimes (2008) Physical ReviewD, 78 (6). , Article ID064058Garcia, R.G., Gonzalez, G.A., Electrovacuum static counterrotating relativistic dust disks (2004) Physical Review D, 69 (12). , Article ID 124002Vogt, D., Letelier, P.S., Exact relativistic static charged perfect fluid disks (2004) Physical Review D, 70 (6). , Article ID 064003, 6 pagesGarcia-Reyes, G., Gonzalez, G.A., Counterrotating perfect fluid discs as sources of electrovacuum static spacetimes (2004) Classical and Quantum Gravity, 21 (21). , article 4845Garcia-Reyes, G., Gonzalez, G.A., Charged perfect fluid disks as sources of Taub-NUT-type spacetimes (2004) Physical Review D, 70 (10). , Article ID 104005Gurlebeck, N., Bicak, J., Gutierrez-Pineres, A.C., Monopole and dipole layers in curved spacetimes: Formalism and examples (2011) Physical Review D, 83 (12). , Article ID 124023Gurlebeck, N., Bicak, J., Gutierrez-Pineres, A.C., Electromagnetic sources distributed on shells in a Schwarzschild background (2011) General Relativity and Gravitation, 43 (12), pp. 3301-3312Zamaninasab, M., Clausen-Brown, E., Savolainen, T., Tchekhovskoy, A., Dynamically important magnetic fields near accreting supermassive black holes (2014) Nature, 510 (7503), pp. 126-128Beck, R., Magnetic fields in galaxies (2015) Magnetic Fields in Diffuse Media, Vol 407 of Astrophysics and Space Science Library, pp. 507-528. , Springer, Berlin, GermanyDe Paolis, F., Gurzadyan, V., Nucita, A., Planck confirmation of the disk and halo rotation of M31 (2014) Astronomy and Astrophysics, 565. , article L3Mikhailov, E., Kasparova, A., Moss, D., Beck, R., Sokoloff, D., Zasov, A., Magnetic fields near the peripheries of galactic discs (2014) Astronomy and Astrophysics, 568. , articleA66Chakraborty, K., Rahaman, F., Ray, S., Nandi, A., Islam, N., Possible features of galactic halo with electric field and observational constraints (2014) General Relativity and Gravitation, 46 (10). , article 1807Gutierrez-Pineres, A.C., Gonzalez, G.A., Quevedo, H., Conformastatic disk-haloes in Einstein-Maxwell gravity (2013) Physical Review D, 87 (4). , Article ID044010Gutierrez-Pineres, A.C., Lopez-Monsalvo, C.S., Quevedo, H., Variational thermodynamics of relativistic thin disks (2013) General Relativity and Gravitation, 47. , article 144Gutierrez-Pineres, A.C., Conformastationary disk-haloes in Einstein-Maxwell gravity (2015) General Relativity and Gravitation, 47 (5). , article 54Stephani, H., Kramer, D., MacCallum, M., Hoenselaers, C., Herlt, E., (2003) Exact Solutions of Einsteins Field Equations, , Cambridge University PressSynge, J., (1960) Relativity: The General Theory, , North-Holland, Interscience, Amsterdam, The NetherlandsGarcia-Reyes, G., Espitia, O.A., Exact relativistic models of perfect fluid disks in a magnetic field (2014) General Relativity and Gravitation, 46. , article 1674Letelier, P.S., Wang, A., Space-time defects (1995) Journal of Mathematical Physics, 36 (6), pp. 3023-3042Binney, J., Tremaine, S., (1998) Princeton Series in Astrophysics, , Princeton University Press, Princeton, NJ, USAArfken, G., (1966) Mathematical Methods for Physicists, 1. , Academic Press, New York, NY, USACarmeli, M., (1982) Classical Fields, , JohnWiley and SonsLandau, L.D., Lifshits, E.M., (1975) The Classical Theory of Fields, 2. , Butterworth-HeinemannNandi, K.K., Filippov, A.I., Rahaman, F., Features of galactic halo in a brane world model and observational constraints (2009) Monthly Notices of the Royal Astronomical Society, 399 (4), pp. 2079-2087http://purl.org/coar/resource_type/c_6501ORIGINALDOI10_11552015916026.pdfapplication/pdf2826960https://repositorio.utb.edu.co/bitstream/20.500.12585/8758/1/DOI10_11552015916026.pdff2878587ae45b7a8e97acc00b40d9fc5MD51TEXTDOI10_11552015916026.pdf.txtDOI10_11552015916026.pdf.txtExtracted texttext/plain59541https://repositorio.utb.edu.co/bitstream/20.500.12585/8758/4/DOI10_11552015916026.pdf.txtcbafeb44bffc802ff3151b2a4e7e25b8MD54THUMBNAILDOI10_11552015916026.pdf.jpgDOI10_11552015916026.pdf.jpgGenerated 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