4.3. Other Dark Matter Indicators for Galaxies
4.3.1. Hot Halos Around Elliptical Galaxies
X-ray observations of elliptical galaxies show that many have extended halos of X-ray emission whose overall size is a few times the optical radius of the galaxy. The origin of the hot gas that fills the halo is likely to come from within the optical radius. This hot gas has been driven out of the central potential, in which most of the stars are located, as a result of supernova heating of the cold gas from which those stars formed (see Matsumoto et al. 1997) Estimates, of the ratio of hot gas mass to surviving stellar mass in these ellipticals range from 0.1 - 1.0 (Forman et al. 1985). As ellipticals are observed today to have very low fractional mass contents of cold gas, it seems likely that any remaining cold gas after star formation ceased was heated and dynamically relocated to this hot halo.
These X-ray halos have observed radial gradients in x-ray flux that
that indicate the halo gas mass is in hydrostatic
equilibrium with the galactic potential. Although
this X-ray gas is being collisionally cooled and falling back into
the galaxy, the observed inflow velocity is much less than the
ambient sound speed so that the condition of hydrostatic equilibrium
is still applicable. Unlike the
case of the isothermal sphere, however, there will be a temperature
gradient and hence the mass distribution, M(r) can only be recovered
if the density and temperature distributions are known. In
general, the Einstein X-ray observations are of insufficient quality
to define the temperature profile and thus M(r) remains unknown as
does the actual mass of hot gas. In the case of the extended x-ray
halo around M87, the data are of high quality and indicate a
mass of 1013
M
out to a radius of
150-200 kpc
(Fiegelson et al. 1987 - see also Mould et al. 1987). These
exceeds the stellar mass of M87 by at least an order of magnitude.
In the general case of these halos, the condition of hydrostatic
equilibrium combined with their very large extent indirectly suggests
that the hot gas is prevented from escaping (and is therefore bound
to the galaxy) by a dark matter halo.