  We discuss the formation of dark compact objects in a dark matter environment
in view of the possible mass dependence of pulsars on the distribution of dark
matter in the Galaxy. Our results indicate that the pulsar masses should
decrease going towards the center of the Milky Way due to dark matter capture,
thus becoming a probe for the existence and nature of dark matter. We thus
propose that the evolution of the pulsar mass in a dark matter rich environment
can be used to put constraints, when combined with future experiments, on the
characteristics of our Galaxy halo dark matter profile, on the dark matter
particle mass and on the dark matter self-interaction strength.
