Abstract

MOLINA, U. E.; VILORIA, P.  and  STEFFANELL, I.. Elements of a Gravitational Lens by Assuming an Elliptical Galaxy Model. Rev. mex. astron. astrofis [online]. 2017, vol.53, n.2, 00001.  Epub Oct 21, 2019. ISSN 0185-1101.

In this work we study elements for gravitational lenses per galaxies such as the equation of lens, deviation angle, deflection potential and time delay, modeling the distribution of the volumetric mass of the lens in elliptical form. The function of volumetric distribution of mass in the deflecting galaxy ρ has a nucleus with radius a in its core, form-free parameter b (b > a), and volumetric density in its nucleus ρ 0 . Through the distribution of volumetric mass density ρ, we initially find surface mass density Σ (projected on plane of the lens), followed by elements of a gravitational lens which are completely general and expressed in terms of the geometric parameters a and b. These are related by the adimensional factor $n=\frac{b}{\alpha }>1$. Results are applied to a galaxy-specific lens system to conduct an analysis based on the temporal delay between two images and to observe the conditions with which parameter n must comply.

Keywords : Gravitational lens; the lens equation; deflection angle; deflecting potential; time delay.

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