Gas rotation and dark matter halo shape in cool-core clusters of galaxies

Aims. We study the possibility that the gas in cool-core clusters of galaxies has non-negligible rotation support, the impact of gas rotation on mass estimates from current X-ray observations, and the ability of forthcoming X-ray observatories to detect such rotation. Methods. We present three representative models of massive cool-core clusters with rotating intracluster medium (ICM) in equilibrium in cosmologically motivated spherical, oblate or prolate dark matter halos. In the models, the gas follows a composite-polytropic distribution, and has rotation velocity profiles consistent with current observational constraints. We show that the models are consistent with the available measurements of the ICM properties of the massive cluster population: thermodynamic profiles, shape of surface-brightness distribution, hydrostatic mass bias and broadening of X-ray emitting lines. Using the configuration for the microcalorimeter onboard the XRISM satellite, we generate a set of mock X-ray spectra of our cluster models, which we then analyze to make predictions on the estimates of the rotation speed that will be obtained with such an instrument. We then assess what fraction of the hydrostatic mass bias of our models could be accounted for by detecting rotation speed with XRISM spectroscopy over the range (0.1-1)r500. Results. Current data leave room for rotating ICM in cool-core clusters with peaks of rotation speed as high as 600 km/s. We have shown that such rotation, if present, will be detected with upcoming X-ray facilities such as XRISM and that 60-70% of the hydrostatic mass bias due to rotation can be accounted for using the line-of-sight velocity measured from X-ray spectroscopy with XRISM, with a residual bias smaller than 3% at an overdensity of 500. In this way, XRISM will allow us to pin down any mass bias of origin different from rotation.