The Pauli principle applies for neutron stars and the problem was addressed by Tolman and also Oppenheimer and Volklff in the 1930s to estimate the upper limit of neutron star mass (around 2.4 solar masses but dependency on equation of state and rotational support). That Oppenheimer. “The historical sequence is remarkable: Wolfgang Pauli (1925): exclusion principle. Enrico Fermi and Paul Dirac: quantum statistics. Chandrasekhar: white dwarf mass limit. Oppenheimer & Volkoff: neutron star mass limit. Oppenheimer & Hartland Snyder: continued collapse beyond the neutron-star limit, essentially the first modern black-hole formation calculation.”
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