  The existing and upcoming multiwavelength data from the Galactic Center
suggest a comparative study in order to propose or rule out possible models
which would explain the observations. In this paper we consider the X-ray
synchrotron and the gamma-ray emission due to Kaluza Klein Dark Matter and
define a set of parameters for the shape of the Dark Matter halo which is
consistent with the observations. We show that for this class of models the
existing Chandra X-ray data is more restrictive than the constraints on very
high energy gamma-rays coming from HESS.
