An accurate analytic mass model for lensing galaxies

Abstract

We develop an analytic mass model for lensing galaxies, based on a broken power-law (BPL) density profile, which is a power-law profile with a mass deficit or surplus in the central region. Under the assumption of an elliptically symmetric surface mass distribution, the deflection angle and magnification can be evaluated analytically for this new model. We compute the theoretical prediction for various quantities, including the volume and surface mass density profiles of the galaxies, and the aperture and luminosity-weighted line-of-sight velocity dispersions, and compare them to those measured from the Illustris simulation. We find an excellent agreement between our model prediction and the simulation, which validates our modeling. The high efficiency and accuracy of our model manifests itself as a promising tool for studying properties of galaxies with strong lensing.

27 pages, 17 figures, 1 table; Accepted for publication in ApJ

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Cited by in corpus (14)

• Fast Calculation of Gravitational Lensing Properties of Elliptical Navarro-Frenk-White and Hernquist Density Profiles
• Systematic errors induced by the elliptical power-law model in galaxy-galaxy strong lens modeling
• The Einasto model for dark matter haloes
• Systematic errors in strong gravitational lensing reconstructions, a numerical simulation perspective
• Constraining Cosmological and Galaxy Parameters using Strong Gravitational Lensing Systems
• The dynamical structure of broken power-law and double power-law models for dark matter haloes
• The impact of mass map truncation on strong lensing simulations
• SpheCow: flexible dynamical models for galaxies and dark matter haloes
• El Gordo needs El Anzuelo: Probing the structure of cluster members with multi-band extended arcs in JWST data
• Mass Reconstruction of Galaxy-scale Strong Gravitational Lenses Using a Broken Power-law Model
• Pixel-level modelling of group-scale strong lens CASSOWARY 19
• Self-consistent dynamical models with a finite extent -- II. Radially truncated models
• Gravitational lensing by an ellipsoidal Navarro--Frenk--White dark-matter halo: An analytic solution and its properties
• Time delay measurements with Broken Power Law model