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...

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Detalhes bibliográficos
Autores: Molina, U. E., Viloria Molinares, Pablo, Steffanell De León, Ingrid
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2017
País:Colombia
Recursos:Corporación Universidad de la Costa
Repositório:Repositorio REDICUC
Idioma:inglês
OAI Identifier:oai:repositorio.cuc.edu.co:11323/1611
Acesso em linha:http://hdl.handle.net/11323/1611
https://repositorio.cuc.edu.co/
Access Level:Acceso aberto
Palavra-chave:Galaxies: elliptical and lenticular
Gravitation
Gravitational lensing: strong
Gravitational lensing: weak
Descrição
Resumo: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.