Constraining ultra light fermionic dark matter with Milky-Way observations

J. Barranco, A. Bernal, D. Delepine

The equation of state for a degenerate gas of fermions at zero temperature in the non-relativistic case is a polytrope, i.e. $p\sim \ddot{I}{}^{5/3}/m_F^{8/3}$. If dark matter is modeled b…