Considering the importance of rotation during the collapse of a type II supernova of a very massive star, the metric that must be considered for the possibility of black hole formation is, of course, the Kerr metric. On the other hand, there are many different types of matter that are possible for neutron matter under high densities, such as a Fermi gas of neutrons, a superfluid of neutrons, etc. And the latest LHC data (from the TOTEM Collaboration) on the nucleon hard core indicate that when two nucleons get at distances smaller than 0.5 fm, there is a gigantic repulsion between them which has been observed at energies of up to 13 TeV. When we take all this information together into account, we find out for the first time that stellar black holes do not exist at all. It is also shown that stars made up of a quark-gluon plasma are not generated by means of the core-collapse mechanism of a massive star.