• Corpus ID: 209916110

Constraining ultra light fermionic dark matter with Milky Way observations

  title={Constraining ultra light fermionic dark matter with Milky Way observations},
  author={Juan Barranco and Argelia Bernal and David Del{\'e}pine},
  journal={arXiv: High Energy Physics - Phenomenology},
The equation of state for a degenerate gas of fermions at zero temperature in the non relativistic case is a polytrope, i.e. $p=\gamma \rho^{5/3}/m_F^{8/3}$. If dark matter is modelled by such non interacting fermion, this dependence in the mass of the fermion $m_F$ explains why if dark matter is very heavy the effective pressure of dark matter is negligible. Nevertheless, if the mass of the dark matter is very small, the effective pressure can be very large, and thus, a system of self… 
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