Understanding elliptical galaxies with warm dark matter

We fit the solution of hydrostatic equations to the observed total and baryonic mass densities ρ_tot(r) and ρ_b(r) of 23 massive elliptical galaxies. Our purpose is to investigate how well these measurements constrain the cusp or core of elliptical galaxies, and the dark matter comoving temperature-to-mass ratio, or equivalently, the adiabatic invariant v_hrms(1), of dark matter. These studies reinforce the view that the lower bound of the measured distribution of the comoving thermal velocity v_hrms(1) is of cosmological origin, in agreement with studies of spiral and dwarf galaxies.