EDP Sciences
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Erratum
This article is an erratum for: [this article]

Issue
A&A
Volume 593, September 2016
Article Number C2
Number of page(s) 2
Section Cosmology (including clusters of galaxies)
DOI https://doi.org/10.1051/0004-6361/201526773e
Published online 31 August 2016

The authors would like to point out two errors in the article as it was originally published.

Due to a typographical error, Eq. (17) erroneously expresses the shear of the elliptical power law profile lens in the elliptic coordinates R and ϕ instead of the physical polar coordinates r and θ. The correct expression is (17) i.e. the same formula with the substitutions Rr and ϕθ. This result correctly recovers the singular isothermal ellipsoid result γ = − κ (z/z) = − ei2θκ when t = 1. The preceding Eq. (16) is correct.

Furthermore, Fig. 2 incorrectly contains and refers to the pseudo-caustics for power law profile lenses with slope t> 1. Since the main result of the original paper shows that the elliptical lenses have the same (elliptical) radial profile as the circular ones, the degenerate critical line at the origin R = 0 is mapped to R = ∞ when t> 1, just as in the circular case. Hence only the isothermal case t = 1 has a pseudo-caustic at finite radius. The dashed lines in the plot are due to a numerical error. A corrected version of Fig. 2 is shown below.

thumbnail Fig. 2

Critical lines (black) and caustics (grey) of the elliptical power law profile lens. Also shown is an ellipse with semi-minor axis equal to the scale length b and axis ratio q (red, dotted). For the purpose of illustration, the scale length b decreases as q1/2. The slope of the power law profile varies from t = 0.25 (left) to t = 1.75 (right) in steps of 0.5. The axis ratio varies from q = 0.8 (top) to q = 0.2 (bottom) in steps of 0.2.

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Acknowledgments

The authors thank Yiping Shu and Massimo Meneghetti for their careful reading of the original article.


© ESO 2016

All Figures

thumbnail Fig. 2

Critical lines (black) and caustics (grey) of the elliptical power law profile lens. Also shown is an ellipse with semi-minor axis equal to the scale length b and axis ratio q (red, dotted). For the purpose of illustration, the scale length b decreases as q1/2. The slope of the power law profile varies from t = 0.25 (left) to t = 1.75 (right) in steps of 0.5. The axis ratio varies from q = 0.8 (top) to q = 0.2 (bottom) in steps of 0.2.

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