The Remarkable Similarity of Massive Galaxy Clusters from z ∼ 0 to z ∼ 1.9

<jats:title>Abstract</jats:title> <jats:p>We present the results of a <jats:italic>Chandra</jats:italic> X-ray survey of the eight most massive galaxy clusters at <jats:italic>z</jats:italic> > 1.2 in the South Pole Telescope 2500 deg<jats:sup>2</jats:sup> survey. We combine this sample with previously published <jats:italic>Chandra</jats:italic> observations of 49 massive X-ray-selected clusters at 0 < <jats:italic>z</jats:italic> < 0.1 and 90 Sunyaev–Zel’dovich–selected clusters at 0.25 < <jats:italic>z</jats:italic> < 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 <jats:inline-formula> <jats:tex-math> </jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="apjaa7740ieqn1.gif" xlink:type="simple"/> </jats:inline-formula> scaling like <jats:inline-formula> <jats:tex-math> </jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="apjaa7740ieqn2.gif" xlink:type="simple"/> </jats:inline-formula>. In the centers of clusters (<jats:inline-formula> <jats:tex-math> </jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="apjaa7740ieqn3.gif" xlink:type="simple"/> </jats:inline-formula>), we find significant deviations from self-similarity (<jats:inline-formula> <jats:tex-math> </jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="apjaa7740ieqn4.gif" xlink:type="simple"/> </jats:inline-formula>), consistent with no redshift dependence. When we isolate clusters with overdense cores (i.e., cool cores), we find that the average overdensity 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 <jats:inline-formula> <jats:tex-math> </jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="apjaa7740ieqn5.gif" xlink:type="simple"/> </jats:inline-formula>.</jats:p>