  The nature of the dark matter in the Halo of our Galaxy remains a mystery.
Arguments are presented that the dark matter does not consist of ordinary
stellar or substellar objects, i.e., the dark matter is not made of faint
stars, brown dwarfs, white dwarfs, or neutron stars. In fact, faint stars and
brown dwarfs constitute no more than a few percent of the mass of our Galaxy,
and stellar remnants must satisfy $\Omega_{WD} \leq 3 \times 10^{-3} h^{-1}$,
where $h$ is the Hubble constant in units of 100 km/s Mpc^{-1}. On theoretical
grounds one is then pushed to more exotic explanations. Indeed a nonbaryonic
component in the Halo seems to be required.
