  We carry out a comparison between different kinds of experiments for the
detection of neutralino dark matter. In particular, we compare the theoretical
predictions for the direct detection of these particles, through their elastic
scattering on target nuclei through nuclear recoils, with those for their
indirect detection through the gamma rays produced by their annihilation in the
galactic center. For the comparison we pay special attention to points which
will be testable by very sensitive experiments, such as e.g. EDELWEISS II and
GENIUS for direct detection, and GLAST for indirect detection. We perform the
analysis in the framework of a general SUGRA theory, allowing the presence of
non-universal soft scalar and gaugino masses in the parameter space. As a
conclusion, we find that indirect detection experiments will be able to test
larger regions of the parameter space than direct detection ones.
