The projected gravitational potential of the galaxy cluster MACS~J1206 derived from galaxy kinematics

Abstract

We reconstruct the radial profile of the projected gravitational potential of the galaxy cluster MACS-J1206 from 592 spectroscopic measurements of velocities of cluster members. For doing so, we use a method we have developed recently based on the Richardson-Lucy deprojection algorithm and an inversion of the spherically-symmetric Jeans equation. We find that, within the uncertainties, our reconstruction agrees very well with a potential reconstruction from weak and strong gravitational lensing as well as with a potential obtained from X-ray measurements. In addition, our reconstruction is in good agreement with several common analytic profiles of the lensing potential. Varying the anisotropy parameter in the Jeans equation, we find that isotropy parameters which are either small, $\beta \lesssim 0.2$, or decrease with radius yield potential profiles which strongly disagree with that obtained from gravitational lensing. We achieve the best agreement between our potential profile and the profile from gravitational lensing if the anisotropy parameter rises quite steeply to $\beta \approx 0.6$ within $\approx 0.5\mathrm{Mpc}$ and stays constant further out.

submitted to A&A

References in corpus (9)

• CLASH: Weak-Lensing Shear-and-Magnification Analysis of 20 Galaxy Clusters
• Search for TeV Gamma-ray Emission from GRB 100621A, an extremely bright GRB in X-rays, with H.E.S.S
• CLASH: The Concentration-Mass Relation of Galaxy Clusters
• CLASH-X: A Comparison of Lensing and X-ray Techniques for Measuring the Mass Profiles of Galaxy Clusters
• LoCuSS: Hydrostatic Mass Measurements of the High-$L_X$ Cluster Sample -- Cross-calibration of Chandra and XMM-Newton
• CLASH-VLT: The stellar mass function and stellar mass density profile of the z=0.44 cluster of galaxies MACS J1206.2-0847
• A spectacular giant arc in the massive cluster lens MACSJ1206.2-0847
• Galaxy cluster lensing masses in modified lensing potentials
• Joint reconstruction of galaxy clusters from gravitational lensing and thermal gas. II. Inversion of the thermal Sunyaev-Zel'dovich effect

Cited by in corpus (8)

• Mass distribution in the core of MACS J1206: robust modeling from an exceptionally large sample of central multiple images
• A new high-precision strong lensing model of the galaxy cluster MACS J0416.1-2403
• CLUMP-3D. Three dimensional lensing and multi-probe analysis of MACS J1206.2-0847, a remarkably regular cluster
• Generalised model-independent characterisation of strong gravitational lenses VI: the origin of the formalism intrinsic degeneracies and their influence on $H_0$
• Modelling the Spatial Distribution and Origin of CO Gas in Debris Disks
• Triaxiality in galaxy clusters: Mass versus Potential reconstructions
• Magellan/M2FS Spectroscopy of Galaxy Clusters: Stellar Population Model and Application to Abell 267
• A full reconstruction of two galaxy clusters intra-cluster medium with strong gravitational lensing