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• W3100492756 abstract "Models with elliptical potentials (pseudo-elliptical) are often used in gravitational lensing applications. Nevertheless, they generally lead to nonphysical mass distributions in some regions. In this paper we revisit the physical limitations of the pseudo-elliptical Navarro-Frenk-White (PNFW) model, for a broad range of the potential ellipticity parameter epsilon and characteristic convergence kappa_s focusing on the behavior of the mass distribution close to the tangential critical curve, where tangential arcs are expected to be formed. We investigate the shape of the mass distribution on this region and the presence of negative convergence. We obtain a mapping from the PNFW to the NFW model with elliptical mass distribution (ENFW) and provide fitting formulae for connecting the parameters of both models. We compare the arc cross section for these models using the infinitesimal circular source approximation. We find that the PNFW model is well-suited to model an elliptical mass distribution on a larger epsilon - kappa_s parameter space than previously expected. In particular values as large as epsilon ~ 0.65 are allowed for small kappa_s. However, if we require the PNFW model to reproduce the arc cross section of the ENFW well, the ellipticity is more restricted. We also find that the negative convergence regions occur far from the arc formation region and should therefore not be a problem for studies with gravitational arcs. The determination of a domain of validity for the PNFW model and the mapping to ENFW models could have implications for the use of PNFW models for the inverse modeling of lenses and for fast arc simulations." @default.
• W3100492756 created "2020-11-23" @default.
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• W3100492756 date "2012-08-01" @default.
• W3100492756 modified "2023-09-25" @default.
• W3100492756 title "Domain of validity for pseudo-elliptical NFW lens models" @default.
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• W3100492756 doi "https://doi.org/10.1051/0004-6361/201118485" @default.
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