Astronomy and Astrophysics – Astrophysics
Scientific paper
2001-12-06
Astron.Astrophys. 390 (2002) 821-827
Astronomy and Astrophysics
Astrophysics
7 pages, 8 figures. Revised version
Scientific paper
10.1051/0004-6361:20020639
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.
Golse Ghyslain
Kneib Jean Paul
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