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Pseudo Elliptical Lensing Mass Model: Application to the NFW Mass Distribution | | G. Golse
; J.-P. Kneib
; | | Date: |
6 Dec 2001 | | Journal: | Astron.Astrophys. 390 (2002) 821-827 | | Subject: | astro-ph | | Affiliation: | LAOMP, Toulouse, France | | Abstract: | We introduce analytical expressions for a pseudo fully analytical elliptical projected Navarro, Frenk & White (NFW) mass profile to be used in lensing equations. We propose a formalism that incorporates the ellipticity into the expression for the lens potential, producing a pseudo-elliptical mass distribution. This approach can be implemented to any circular mass profile for which the projected mass profile Sigma(r) and the deflection angle profile alpha(r) both have analytical expressions; however the potential does not necessarily need to take an analytical form. We apply this new formalism to the NFW mass distribution and study how well this pseudo-elliptical NFW model describes an elliptical mass distribution. We conclude that the pseudo-elliptical NFW model is a good description of elliptical mass distributions provided that the ellipticity of the projected mass distribution is <~ 0.4, although with a slightly boxy distribution. | | Source: | arXiv, astro-ph/0112138 | | Services: | Forum | Review | PDF | Favorites | |
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