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 h rms ( 1 ) , of dark matter. These studies reinforce the view that the lower bound of the measured distribution of the comoving thermal velocity v h rms ( 1 ) is of cosmological origin, in agreement with studies of spiral and dwarf galaxies.