Question

A Universal Upper Limit on Mass Within a Radius $R$?

Answer 1

Hey mate ^_^

The maximum mass in a given volume is given by the Schwarzschild radius of a black hole of that mass. Below that mass you won't have a black hole, above it, you will...

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Answer 2

Hello mate here is your answer.

CDM models predict a halo structure which is responsible for the rotation curve of the spiral galaxies. Halo structures and rotation curves are therefore closely connected problems. Let us assume that halos are spherical.

Hope it helps you.