"It's complicated" ... you're probably better off asking Ziljan
Astrophysics emergency detected!
Ok this is a VERY fascinating question of stellar evolution and galactic structure, and thankfully the answer is quite simple and the same for both objects!
1) why are there massive stellar corpses in nodes around the milky way?
2) why is there a thin band of L,Y,T dwarves in the middle?
ANSWER: The older stars become the more they drift above and below the plane of the milky way. Why?
The youngest stars, extreme population I stars generally start their lives at the center of the
Thin Disk of the Milky Way. Because of a cool little calculation on stellar populations called "
the initial mass function" (IMF), we know that the bulk of star formation are lower mass stars, pirmarily M class, but also L, Y, T. So in the youngest stars, we would expect to see significant numbers of brown and red dwarfs. As stars get older, they can randomly accrue more velocity from interaction with other massive galactic objects (molecular star formation clouds, etc). This is known as age related
velocity dispersion. It is also a function of individual (violent) history and mass of the of the parent galaxy. But the important thing to remember is that the older the star gets, the more likely it is to have a higher vertical velocity away from the plane of the disk. This means that younger stars are more likely to be found in the middle of the disk, and older stars are more likely to be found heading towards the halo.
View attachment 105430
But wait, you say, if the stars get older as you head above and below the milky way, then wouldn't extremely long lived dwarf stars be MORE prevalent? Well yes and no. The brown dwarfs do probably exist in higher numbers at higher altitudes, but they are so dim that we can't detect them. The brown dwarfs don't have nuclear fusion to keep them warm, and are primarily using electron degeneracy (like white dwarfs) to keep the core from collapsing. So they get cold very quickly, and become undetectable as they age, which is the reason that we don't find them easily above certain galactic altitudes. As least not in 2016. In 3302 it may be a different story.
Read more on brown dwarf distribution here:
http://articles.adsabs.harvard.edu/...=0&data_type=GIF&type=SCREEN_VIEW&classic=YES
Now for the large mass stellar remnants (Neutrons and BH), Jackie has answered part of the question about why they exist in nodes rather than continuously throughout the central bulge. First, there is "mass suppression" within the core because the core is largely devoid of star forming gas and dust, mostly because it falls into the core (eg Sgr A*) whenever the galaxy core cannibalizes a small <1/5 mass galaxy. This is also the reason that the core has the same shape as an Elliptical Galaxy, many recent collisions keep the shape randomized, hence "semi-spherical". But just outside that core, we have the flatter disk and the spiral arm structure which is a series of density waves with plenty of cold gas and dust for rich high mass star formation. The density increases right up until you hit the core, for reasons mentioned above, where it drops off quickly.
However as we stated above, older stars tend to gain velocity dispersion and thus z-axis galactic altitude as they age. High mass stars live very short lives, so the remnants of massive stars Neutron Stars and Black Holes can be found very close to their places of birth, and they eventually drift above and below the regions of highest density and somewhat near where the spiral arms have approached the core.
All of this speaks very highly of Frontier's commitment to a theoretically accurate and deep modeling of the ED Milky Way with lots of nuanced structure that is ripe for penetrating and insightful questions like this. So thanks Nostril for bringing this up!