Well let's see.. For starters, a black dwarf is not a neutron star as these are formed from high mass stars in supernovas and are a step away from a black hole. read more
A black dwarf is a cooled down white dwarf which itself, is the remnant of a 10 solar mass star (or thereabouts) that has shed its outer layers..! 10 solar masses! 1 solar mass is the mass our sun and a white dwarf is the remnant of a star 10 times as massive. read more
If a black dwarf somehow managed to lose a LOT of mass (almost all of it, basically) to a partner star while in the white dwarf stage, then it could theoretically become habitable. We already know of one planet that was formerly a carbon-oxygen white dwarf and was reduced to planetary mass by its partner, but its surface gravity would still be in excess of 30 g. read more