Reconstruction of the two-dimensional gravitational potential of galaxy clusters from X-ray and Sunyaev-Zel'dovich measurements

Abstract

The mass of galaxy clusters is not a direct observable, nonetheless it is commonly used to probe cosmological models. Based on the combination of all main cluster observables, that is, the X-ray emission, the thermal Sunyaev-Zel'dovich (SZ) signal, the velocity dispersion of the cluster galaxies, and gravitational lensing, the gravitational potential of galaxy clusters can be jointly reconstructed. We derive the two main ingredients required for this joint reconstruction: the potentials individually reconstructed from the observables and their covariance matrices, which act as a weight in the joint reconstruction. We show here the method to derive these quantities. The result of the joint reconstruction applied to a real cluster will be discussed in a forthcoming paper. We apply the Richardson-Lucy deprojection algorithm to data on a two-dimensional (2D) grid. We first test the 2D deprojection algorithm on a $\beta$-profile. Assuming hydrostatic equilibrium, we further reconstruct the gravitational potential of a simulated galaxy cluster based on synthetic SZ and X-ray data. We then reconstruct the projected gravitational potential of the massive and dynamically active cluster Abell 2142, based on the X-ray observations collected with XMM-Newton and the SZ observations from the Planck satellite. Finally, we compute the covariance matrix of the projected reconstructed potential of the cluster Abell 2142 based on the X-ray measurements collected with XMM-Newton. The gravitational potentials of the simulated cluster recovered from synthetic X-ray and SZ data are consistent, even though the potential reconstructed from X-rays shows larger deviations from the true potential. Regarding Abell 2142, the projected gravitational cluster potentials recovered from SZ and X-ray data reproduce well the projected potential inferred from gravitational-lensing observations. (abridged)

arXiv commentaccepted for publication in the journal A&A

References in corpus (42)

• Planck 2015 results. XIII. Cosmological parameters
• A Universal Density Profile from Hierarchical Clustering
• The cosmological simulation code GADGET-2
• Weak Gravitational Lensing
• Collisional Plasma Models with APEC/APED: Emission Line Diagnostics of Hydrogen-like and Helium-like Ions
• Toward a halo mass function for precision cosmology: the limits of universality
• Cluster Lensing And Supernova survey with Hubble (CLASH): An Overview
• Galaxy cluster X-ray luminosity scaling relations from a representative local sample (REXCESS)
• The Evolution of X-ray Clusters and the Entropy of the Intra Cluster Medium
• Weighing simulated galaxy clusters using lensing and X-ray
• The halo mass function through the cosmic ages
• Measuring the Three-Dimensional Structure of Galaxy Clusters. I. Application to a Sample of 25 Clusters
• Planck Intermediate Results. V. Pressure profiles of galaxy clusters from the Sunyaev-Zeldovich effect
• Gas Clumping in the Outskirts of Lambda-CDM Clusters
• MILCA, a Modified Internal Linear Combination Algorithm to extract astrophysical emissions from multi-frequency sky maps
• Outskirts of Galaxy Clusters
• The NIKA2 instrument, a dual-band kilopixel KID array for millimetric astronomy
• Non-gaussian CMB temperature fluctuations from peculiar velocities of clusters
• Quantifying properties of ICM inhomogeneities
• Mass and Hot Baryons in Massive Galaxy Clusters from Subaru Weak Lensing and AMiBA SZE Observations
• The XMM Cluster Outskirts Project (X-COP)
• The Three-Dimensional Shapes of Galaxy Clusters
• Combining weak and strong cluster lensing: Applications to simulations and MS 2137
• Gas clumping in galaxy clusters
• Cosmology and astrophysics from relaxed galaxy clusters - IV: Robustly calibrating hydrostatic masses with weak lensing
• X-ray, lensing and Sunyaev Zel'dovich triaxial analysis of Abell 1835 out to R_{200}
• Abell 2142 at large scales: An extreme case for sloshing?
• Properties of gas clumps and gas clumping factor in the intra cluster medium
• The stripping of a galaxy group diving into the massive cluster A2142
• The X-ray/SZ view of the virial region. I. Thermodynamic properties
• Minor merger-induced cold fronts in Abell 2142 and RXJ1720.1+2638
• Properties of the galaxy population in hydrodynamical simulations of clusters
• Mass, velocity anisotropy, and pseudo phase-space density profiles of Abell 2142
• The XMM Cluster Outskirts Project (X-COP): Physical conditions to the virial radius of Abell 2142
• Triaxiality and non-thermal gas pressure in Abell 1689
• Triaxiality, principal axis orientation and non-thermal pressure in Abell 383
• Mesh-free free-form lensing I: Methodology and application to mass reconstruction
• Three-dimensional reconstruction of the intra-cluster medium
• Joint reconstruction of galaxy clusters from gravitational lensing and thermal gas I. Outline of a non-parametric method
• Reconstructing the projected gravitational potential of Abell 1689 from X-ray measurements
• Reconstructing the projected gravitational potential of galaxy clusters from galaxy kinematics
• Joint reconstruction of galaxy clusters from gravitational lensing and thermal gas. II. Inversion of the thermal Sunyaev-Zel'dovich effect

Cited by in corpus (6)

• Joint HST, VLT/MUSE and XMM-Newton observations to constrain the mass distribution of the two strong lensing galaxy clusters: MACS J0242.5-2132 & MACS J0949.8+1708
• Characterizing galaxy clusters by their gravitational potential: systematics of cluster potential reconstruction
• Triaxiality in galaxy clusters: Mass versus Potential reconstructions
• Joint cluster reconstructions: Combining free-form lensing and X-rays
• A full reconstruction of two galaxy clusters intra-cluster medium with strong gravitational lensing
• A short review on joint weak and strong cluster lens-mass reconstruction