Les singularités comme limites ontologiques de la relativité générale

The singularities of general relativity resulting from the resolution of Einstein's equations have been and still are the subject of numerous scientific debates: do there exist singularities in space-time or not? Was Big Bang an initial singularity? If singularities exist, what is their ontology? Is the general theory of relativity a theory that has shown its limits in this case? In this essay I argue that singularities exist and that the theory of general relativity, like any other scientific theory at present, is not valid for singularities. However, as some scientists believe, this does not mean that it should be considered obsolete. After a brief presentation of the specific aspects of the classical Newtonian theory and the theory of special relativity and a brief presentation of the theory of general relativity, the chapter Ontology of general relativity presents the ontological aspects of general relativity. The next chapter, Singularities, is devoted to presenting the singularities leading to general relativity, specific aspects of black holes and the event horizon, including the Big Bang debate as the original singularity and the arguments in favor of the existence of these singularities. In the Ontology of Singularities, I talk about the possibilities of ontological framing of singularities in general and black holes in particular, of the hole argument highlighted by Einstein, and of the arguments presented by scientists according to which it does not there are no singularities and therefore the general theory of relativity is at an impasse. In Conclusions, I briefly describe and summarize the arguments that support my views above.