Pseudo elliptical lensing mass model: Application to the NFW mass distribution

Free access article

Issue		A&A Volume 390, Number 3, August II 2002


Page(s)		821 - 827
Section		Cosmology
DOI		http://dx.doi.org/10.1051/0004-6361:20020639

A&A 390, 821-827 (2002)
DOI: 10.1051/0004-6361:20020639

Pseudo elliptical lensing mass model: Application to the NFW mass distribution

G. Golse and J.-P. Kneib

Laboratoire d'Astrophysique, Observatoire Midi-Pyrénées, 14 av. E.-Belin, 31400 Toulouse, France

(Received 18 March 2002 / Accepted 18 April 2002)

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 $\la$ 0.4, although with a slightly boxy distribution.

Key words: cosmology: miscellaneous -- gravitational lensing -- dark matter -- galaxies: clusters: general -- galaxies: halos

Offprint request: G. Golse, ghislain.golse@ast.obs-mip.fr

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