2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/177394We found type I critical collapses of compact objects modeled by a polytropic equation of state (EOS) with polytropic index $Γ=2$ without the ultra-relativistic assumption. The object is formed in head-on collisions of neutron stars. Further we showed that the critical collapse can occur due to a change of the EOS, without fine tuning of initial data. This opens the possibility that a neutron star like compact object, not just those formed in a collision, may undergo a critical collapse in processes which slowly change the EOS, such as cooling.4 pages,6 figures, 15 referencesGeneral Relativity and Quantum Cosmologytext