Pseudo elliptical lensing mass model: Application to the NFW mass distribution
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.
- Publication:
-
Astronomy and Astrophysics
- Pub Date:
- August 2002
- DOI:
- 10.1051/0004-6361:20020639
- arXiv:
- arXiv:astro-ph/0112138
- Bibcode:
- 2002A&A...390..821G
- Keywords:
-
- cosmology: miscellaneous;
- gravitational lensing;
- dark matter;
- galaxies: clusters: general;
- galaxies: halos;
- Astrophysics
- E-Print:
- 7 pages, 8 figures. Revised version