Nonsingular density profiles of dark matter halos and Strong gravitational lensing

Details Nonsingular density profiles of dark matter halos and Strong gravitational lensing Nonsingular density profiles of dark matter halos and Strong gravitational lensing

2005-02-05

arxiv.org/abs/astro-ph/0502119v4

Astrophys.J. 629 (2005) 23-28

Astronomy and Astrophysics

Astrophysics

17 pages, 4 figures, ApJ accepted. Final version matches the proofs. A curve in figure 2 is corrected, conclusions unchanged

Scientific paper

10.1086/431577

We use the statistics of strong gravitational lenses to investigate whether mass profiles with a flat density core are supported. The probability for lensing by halos modeled by a nonsingular truncated isothermal sphere (NTIS) with image separations greater than a certain value (ranging from zero to ten arcseconds) is calculated. NTIS is an analytical model for the postcollapse equilibrium structure of virialized objects derived by Shapiro, Iliev & Raga. This profile has a soft core and matches quite well with the mass profiles of dark matter-dominated dwarf galaxies deduced from their observed rotation curves. It also agrees well with the NFW (Navarro-Frenk-White) profile at all radii outside of a few NTIS core radii. Unfortunately, comparing the results with those for singular lensing halos (NFW and SIS+NFW) and strong lensing observations, the probabilities for lensing by NTIS halos are far too low. As this result is valid for any other nonsingular density profiles (with a large core radius), we conclude that nonsingular density profiles (with a large core radius) for CDM halos are ruled out by statistics of strong gravitational lenses.

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