Elements of a gravitational lens system assuming an elliptical galaxy model
This work studies some elements of gravitational lensing by galaxies such as the lens equation, deflection angle, lensing potential and time delay, modeling the mass distribution of the lensing galaxy as an elliptical galaxy. The mass distribution function ρ of the deflecting galaxy indicates that i...
- Autores:
-
Molina, U. E.
Viloria Molinares, Pablo
Steffanell De León, Ingrid
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2017
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/3278
- Acceso en línea:
- http://hdl.handle.net/11323/3278
https://repositorio.cuc.edu.co/
- Palabra clave:
- Galaxies: elliptical and lenticular
Gravitation
Gravitational lensing: strong
Gravitational lensing: weak
Galaxias: elípticas y lenticulares.
Gravitación
Lente gravitacional: fuerte
Lente gravitacional: débil
- Rights
- openAccess
- License
- Attribution-NonCommercial-ShareAlike 4.0 International
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dc.title.spa.fl_str_mv |
Elements of a gravitational lens system assuming an elliptical galaxy model |
dc.title.translated.spa.fl_str_mv |
Elementos de un sistema de lentes gravitacionales que asumen un modelo de galaxia elíptica |
title |
Elements of a gravitational lens system assuming an elliptical galaxy model |
spellingShingle |
Elements of a gravitational lens system assuming an elliptical galaxy model Galaxies: elliptical and lenticular Gravitation Gravitational lensing: strong Gravitational lensing: weak Galaxias: elípticas y lenticulares. Gravitación Lente gravitacional: fuerte Lente gravitacional: débil |
title_short |
Elements of a gravitational lens system assuming an elliptical galaxy model |
title_full |
Elements of a gravitational lens system assuming an elliptical galaxy model |
title_fullStr |
Elements of a gravitational lens system assuming an elliptical galaxy model |
title_full_unstemmed |
Elements of a gravitational lens system assuming an elliptical galaxy model |
title_sort |
Elements of a gravitational lens system assuming an elliptical galaxy model |
dc.creator.fl_str_mv |
Molina, U. E. Viloria Molinares, Pablo Steffanell De León, Ingrid |
dc.contributor.author.spa.fl_str_mv |
Molina, U. E. Viloria Molinares, Pablo Steffanell De León, Ingrid |
dc.subject.spa.fl_str_mv |
Galaxies: elliptical and lenticular Gravitation Gravitational lensing: strong Gravitational lensing: weak Galaxias: elípticas y lenticulares. Gravitación Lente gravitacional: fuerte Lente gravitacional: débil |
topic |
Galaxies: elliptical and lenticular Gravitation Gravitational lensing: strong Gravitational lensing: weak Galaxias: elípticas y lenticulares. Gravitación Lente gravitacional: fuerte Lente gravitacional: débil |
description |
This work studies some elements of gravitational lensing by galaxies such as the lens equation, deflection angle, lensing potential and time delay, modeling the mass distribution of the lensing galaxy as an elliptical galaxy. The mass distribution function ρ of the deflecting galaxy indicates that it has a nucleus with radius a in its core, a free-form parameter b (b > a), and that the mass density of the nucleus is ρ0. The mass density distribution ρ allows us to find the surface mass density Σ (projected on the plane of the lens), followed by general elements of the gravitational lens expressed in terms of the geometric parameters a and b. The relation between these parameters is defined by the adimensional factor n = b/a > 1. The results of this work can be applied to any galactic lens system to conduct an analysis based on the temporal delay between two images and to determine the conditions that must be satisfied by the parameter n. |
publishDate |
2017 |
dc.date.issued.none.fl_str_mv |
2017-02-17 |
dc.date.accessioned.none.fl_str_mv |
2019-05-10T15:12:50Z |
dc.date.available.none.fl_str_mv |
2019-05-10T15:12:50Z |
dc.type.spa.fl_str_mv |
Artículo de revista |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
dc.type.content.spa.fl_str_mv |
Text |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
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http://purl.org/redcol/resource_type/ART |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/acceptedVersion |
format |
http://purl.org/coar/resource_type/c_6501 |
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acceptedVersion |
dc.identifier.issn.spa.fl_str_mv |
01851101 |
dc.identifier.uri.spa.fl_str_mv |
http://hdl.handle.net/11323/3278 |
dc.identifier.instname.spa.fl_str_mv |
Corporación Universidad de la Costa |
dc.identifier.reponame.spa.fl_str_mv |
REDICUC - Repositorio CUC |
dc.identifier.repourl.spa.fl_str_mv |
https://repositorio.cuc.edu.co/ |
identifier_str_mv |
01851101 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
url |
http://hdl.handle.net/11323/3278 https://repositorio.cuc.edu.co/ |
dc.language.iso.none.fl_str_mv |
eng |
language |
eng |
dc.relation.references.spa.fl_str_mv |
Adler, R., Schiffer, M., & Bazin, J. 1975, Introduction to General Relativity, (New YorK. NY: McGraw-Hill) Bartelmann, M., et al. 1998, A&A, 330, 1 Biggs, A. D., Browne, I. W. A., Helbig, P., et al. 1999, MNRAS, 304, 349 Boughn, S. P. & Crittenden, R. G. 2002, PhRvL, 88, 1302 Brainerd, T. G., Blandford, R. D., & Smail, I. 1996, ApJ, 466, 623 Ciufolini, I. & Archibald, J. 1995, Gravitation and Inertia, Ed. Princeton Series in Physics, New Jersey Cohen, A. S., Hewitt, J. N., Moore, C. B., & Haarsma, D. B. 2000, ApJ, 545, 578 Dyer, C. C. & Roeder, R. C. 1973, ApJ, 180, L31 Foster, J. & Nightingale, J. D. 1994, A Short Course in General Relativity, Ed. Springer-Verlag, NY Golse, G. & Kneib, J. 2002, A&A, 390, 821 Grogin, N. A. & Narayan, R. 1996, ApJ, 464, 92 Kenyon, I. R. 1990, General Relativity, Oxford University Press, Oxford, UK and New York Kessler, R., et al. 2009, ApJS, 185, 32 Kormann, R., Schneider, P., & Bartelmann, M. 1994, A&A, 284, 285 Meneghetti, M., Bartelmann, M., & Moscardini, L. 2003, MNRAS, 340, 105 Merritt, D. & Valluri, M. 1996, ApJ, 471, 82 Miranda, C., Molina, U., & Viloria, P. 2014, Revista Mexicana de F´ısica 60, 190 Molina, U., Tejeiro, J., & Viloria, P. 2006, Revista de la Sociedad Colombiana de F´ısica, 38, 3, 1198 Narayan, R. & Bartelmann, M. 1996, Lectures on Gravitational Lensing, [arxiv.org/pdf/astro-ph/9606001] Schneider, P., Ehlers, J., & Falco. E. 1992, Gravitacional lenses, Ed. Springer-Verlag, NY Schneider, P., Kochanek, C., & Wambsganss, J. 2006, Gravitational Lensing: Strong, weak and micro. Springer-Verlag Berlin Heidelberg Spingola, C., Dallacasa, D., Orienti, M., et al. 2016, MNRAS, 457, 2263 Tremaine S., Richstone D. O., Byun Y.-I., et al. 1994, AJ, 107, 634 Weinberg, S. 1972, Gravitation and Comology, Wiley. New York Wucknitz, O., Biggs, A. D., & Browne, W. A. 2004, MNRAS, 349, 14 Yang, X., Yun, H. R., & Zhang, T. J. 2013, JCAP, 06, 007 |
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Attribution-NonCommercial-ShareAlike 4.0 International |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ |
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Molina, U. E.Viloria Molinares, PabloSteffanell De León, Ingrid2019-05-10T15:12:50Z2019-05-10T15:12:50Z2017-02-1701851101http://hdl.handle.net/11323/3278Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/This work studies some elements of gravitational lensing by galaxies such as the lens equation, deflection angle, lensing potential and time delay, modeling the mass distribution of the lensing galaxy as an elliptical galaxy. The mass distribution function ρ of the deflecting galaxy indicates that it has a nucleus with radius a in its core, a free-form parameter b (b > a), and that the mass density of the nucleus is ρ0. The mass density distribution ρ allows us to find the surface mass density Σ (projected on the plane of the lens), followed by general elements of the gravitational lens expressed in terms of the geometric parameters a and b. The relation between these parameters is defined by the adimensional factor n = b/a > 1. The results of this work can be applied to any galactic lens system to conduct an analysis based on the temporal delay between two images and to determine the conditions that must be satisfied by the parameter n.Este trabajo estudia algunos elementos de la lente gravitacional por galaxias como la ecuación de la lente, el ángulo de desviación, el potencial de la lente y el retardo de tiempo, modelando la distribución de masa de la galaxia lente como una galaxia elíptica. La función de distribución de masa ρ de la galaxia desviadora indica que tiene un núcleo con radio a en su núcleo, un parámetro de forma libre b (b> a), y que la densidad de masa del núcleo es ρ0. La distribución de densidad de masa ρ nos permite encontrar la densidad de masa de superficie Σ (proyectada en el plano de la lente), seguida por elementos generales de la lente gravitacional expresados en términos de los parámetros geométricos a y b. La relación entre estos parámetros se define por el factor dimensional n = b / a> 1. Los resultados de este trabajo se pueden aplicar a cualquier sistema de lentes galácticos para realizar un análisis basado en el retraso temporal entre dos imágenes y determinar las condiciones que Se debe cumplir con el parámetro n.Molina, U. E.-7ce23d62-07fc-4fc8-9f37-fca600230d9e-600Viloria Molinares, Pablo-07e4955f-cb06-4600-a7ef-d7c3eb8083ac-600Steffanell De León, Ingrid-cea1bec5-1485-406d-9772-12c56a932736-600engRevista Mexicana de Astronomia y AstrofisicaAttribution-NonCommercial-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Galaxies: elliptical and lenticularGravitationGravitational lensing: strongGravitational lensing: weakGalaxias: elípticas y lenticulares.GravitaciónLente gravitacional: fuerteLente gravitacional: débilElements of a gravitational lens system assuming an elliptical galaxy modelElementos de un sistema de lentes gravitacionales que asumen un modelo de galaxia elípticaArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/acceptedVersionAdler, R., Schiffer, M., & Bazin, J. 1975, Introduction to General Relativity, (New YorK. NY: McGraw-Hill) Bartelmann, M., et al. 1998, A&A, 330, 1 Biggs, A. D., Browne, I. W. A., Helbig, P., et al. 1999, MNRAS, 304, 349 Boughn, S. P. & Crittenden, R. G. 2002, PhRvL, 88, 1302 Brainerd, T. G., Blandford, R. D., & Smail, I. 1996, ApJ, 466, 623 Ciufolini, I. & Archibald, J. 1995, Gravitation and Inertia, Ed. Princeton Series in Physics, New Jersey Cohen, A. S., Hewitt, J. N., Moore, C. B., & Haarsma, D. B. 2000, ApJ, 545, 578 Dyer, C. C. & Roeder, R. C. 1973, ApJ, 180, L31 Foster, J. & Nightingale, J. D. 1994, A Short Course in General Relativity, Ed. Springer-Verlag, NY Golse, G. & Kneib, J. 2002, A&A, 390, 821 Grogin, N. A. & Narayan, R. 1996, ApJ, 464, 92 Kenyon, I. R. 1990, General Relativity, Oxford University Press, Oxford, UK and New York Kessler, R., et al. 2009, ApJS, 185, 32 Kormann, R., Schneider, P., & Bartelmann, M. 1994, A&A, 284, 285 Meneghetti, M., Bartelmann, M., & Moscardini, L. 2003, MNRAS, 340, 105 Merritt, D. & Valluri, M. 1996, ApJ, 471, 82 Miranda, C., Molina, U., & Viloria, P. 2014, Revista Mexicana de F´ısica 60, 190 Molina, U., Tejeiro, J., & Viloria, P. 2006, Revista de la Sociedad Colombiana de F´ısica, 38, 3, 1198 Narayan, R. & Bartelmann, M. 1996, Lectures on Gravitational Lensing, [arxiv.org/pdf/astro-ph/9606001] Schneider, P., Ehlers, J., & Falco. E. 1992, Gravitacional lenses, Ed. Springer-Verlag, NY Schneider, P., Kochanek, C., & Wambsganss, J. 2006, Gravitational Lensing: Strong, weak and micro. Springer-Verlag Berlin Heidelberg Spingola, C., Dallacasa, D., Orienti, M., et al. 2016, MNRAS, 457, 2263 Tremaine S., Richstone D. O., Byun Y.-I., et al. 1994, AJ, 107, 634 Weinberg, S. 1972, Gravitation and Comology, Wiley. New York Wucknitz, O., Biggs, A. D., & Browne, W. A. 2004, MNRAS, 349, 14 Yang, X., Yun, H. R., & Zhang, T. J. 2013, JCAP, 06, 007PublicationORIGINALElements of a gravitational lens system assuming.pdfElements of a gravitational lens system assuming.pdfapplication/pdf863623https://repositorio.cuc.edu.co/bitstreams/8bf19873-7d90-4e7d-82b2-66abc3ae98ad/downloadeb33f61e4ae0f2f6c97cfdc8fda720edMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81031https://repositorio.cuc.edu.co/bitstreams/568425a7-2bc7-47aa-8ace-6a234c9b75db/download934f4ca17e109e0a05eaeaba504d7ce4MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstreams/52a68072-86ce-487c-b687-c98d81931be1/download8a4605be74aa9ea9d79846c1fba20a33MD53THUMBNAILElements of a gravitational lens system assuming.pdf.jpgElements of a gravitational lens system assuming.pdf.jpgimage/jpeg55074https://repositorio.cuc.edu.co/bitstreams/36ef9d2b-6622-405a-a5f6-16a269a14e62/download97d693f24b5bfc2f3b8d7f855296bba8MD55TEXTElements of a gravitational lens system assuming.pdf.txtElements of a gravitational lens system assuming.pdf.txttext/plain27844https://repositorio.cuc.edu.co/bitstreams/52c17d38-e3af-4703-9065-d1924bb98ced/downloaddfc18022a9f7c8f4195aea7d8c94bcbeMD5611323/3278oai:repositorio.cuc.edu.co:11323/32782024-09-16 16:49:12.596http://creativecommons.org/licenses/by-nc-sa/4.0/Attribution-NonCommercial-ShareAlike 4.0 Internationalopen.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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 |