Sanjoy K. Sarker, Allen Stern
We model the dark matter in galactic haloes with a self-gravitating atmosphere surrounding the galaxy. The galaxy serves to set the scale and the boundary conditions for the atmosphere. The atmosphere is treated as an isothermal Boltzmann gas, which at sufficiently large distances leads to flat rotation curves. Solutions to the dynamics are determined by two parameters, one of which is the ratio of the dark matter mass to the equilibrium temperature. From typical orbital speeds in haloes, any dark matter candidate that utilizes this mechanism to generate flat rotation curves should have a mass to temperature ratio of around 400 eV per degree Kelvin.
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http://arxiv.org/abs/1207.2383
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