The current consensus is that galaxies begin as small density fluctuations in the early Universe and grow by in situ star formation and hierarchical merging 1 . Stars begin to form relatively quickly in sub-galactic sized building blocks called haloes which are subsequently assembled into galaxies. However, exactly when this assembly takes place is a matter of some debate 2, 3 . Here we report that the stellar masses of brightest cluster galaxies, which are the most luminous objects emitting stellar light, some 9 billion years ago are not significantly different from their stellar masses today. Brightest cluster galaxies are almost fully assembled 4 − 5 Gyrs after the Big Bang, having 2 grown to more than 90% of their final stellar mass by this time. Our data conflict with the most recent galaxy formation models 4, 5 based on the largest simulations of dark matter halo development 1 . These models predict protracted formation of brightest cluster galaxies over a Hubble time, with only 22% of the stellar mass assembled at the epoch probed by our sample. Our findings suggest a new picture in which brightest cluster galaxies experience an early period of rapid growth rather than prolonged hierarchical assembly.Brightest cluster galaxies (BCGs) are located at the centres of galaxy clusters. They constitute a separate population from bright elliptical galaxies 6 and both their homogeneity and extreme luminosity have motivated their use as standard candles for cosmology 7-9 .Our investigation focuses on BCGs in the most distant X-ray emitting galaxy clusters at redshifts z = 1.2 −1.5, where (1 + z) is the expansion factor of the Universe relative to the present. It has been shown that X-ray cluster selection is currently the optimum strategy for an unbiased investigation of BCG evolution 10 . Properties of our BCGs and their host clusters are listed in Table 1. All five clusters were discovered serendipitously in X-rays and they are the most distant clusters discovered in their respective X-ray surveys 11-15 .The cluster J2215 was discovered as part of the XMM Cluster Survey (XCS 16,17 ) and has the highest redshift of any spectroscopically confirmed cluster 12,18 .
3The stellar mass of a BCG depends upon the hierarchical build up of its host dark matter halo and its stellar evolution history, along with the baryonic physics of the galaxy.We base our study of BCGs on photometry in the infrared wavebands J (1.26 µm) and K s (2.14 µm). Infrared imaging is essential at these large redshifts to compensate for the redshifting of the early-type galaxy spectra. Also, these wavebands are less sensitive than optical light to the presence of young stars and are a more accurate tracer of the underlying old stellar population and, hence, of the stellar mass of the systems. Fig. 1 shows an infrared image of the cluster J2235 from our sample (see also Supplementary Fig. 1).We start by examining the ages of the stars themselves in these galaxies using the run of J − K s colour evolution with redshift as shown in Fig. 2. For BCGs at ...