# The Remarkable Similarity of Massive Galaxy Clusters From z~0 to z~1.9

## TL;DR

This study shows that the intracluster medium in massive galaxy clusters has evolved self similarly over the past 10 billion years, with stable cool core properties and no significant change in X-ray morphology despite merger activity.

## Contribution

It provides the first comprehensive analysis combining multiple datasets to demonstrate the self-similar evolution of galaxy clusters and their cool cores from z~0 to z~1.9.

## Key findings

- ICM density scales with E(z)^2 at r>0.2R500
- Cool cores show no evolution in size, density, or mass
- X-ray morphology remains unchanged over time

## Abstract

We present the results of a Chandra X-ray survey of the 8 most massive galaxy clusters at z>1.2 in the South Pole Telescope 2500 deg^2 survey. We combine this sample with previously-published Chandra observations of 49 massive X-ray-selected clusters at 0<z<0.1 and 90 SZ-selected clusters at 0.25<z<1.2 to constrain the evolution of the intracluster medium (ICM) over the past ~10 Gyr. We find that the bulk of the ICM has evolved self similarly over the full redshift range probed here, with the ICM density at r>0.2R500 scaling like E(z)^2. In the centers of clusters (r<0.1R500), we find significant deviations from self similarity (n_e ~ E(z)^{0.1+/-0.5}), consistent with no redshift dependence. When we isolate clusters with over-dense cores (i.e., cool cores), we find that the average over-density profile has not evolved with redshift -- that is, cool cores have not changed in size, density, or total mass over the past ~9-10 Gyr. We show that the evolving "cuspiness" of clusters in the X-ray, reported by several previous studies, can be understood in the context of a cool core with fixed properties embedded in a self similarly-evolving cluster. We find no measurable evolution in the X-ray morphology of massive clusters, seemingly in tension with the rapidly-rising (with redshift) rate of major mergers predicted by cosmological simulations. We show that these two results can be brought into agreement if we assume that the relaxation time after a merger is proportional to the crossing time, since the latter is proportional to H(z)^(-1).