S E M I N A R IDepartament d'Astronomia i Astrofísica
Universitat de València
Self-similar gravitational collapse
José M. Martín-García
Postdoctoral Research Assistant Fac. Mathematical Studies University of Southampton
Seminari del departament d'Astronomia i Astrofísica
Dilluns 08 juliol 2002
It is well known that self-similarity plays an important role during intermediate stages of some processes of gravitational collapse in Newtonian physics. Since the pioneering work of Matthew Choptuik in the early 90's, we know that the same holds in General Relativity. In fact, the situation is even more interesting in the relativistic case, displaying links with the theory of naked singularities (Cosmic Censorship), the Renormalization Group, the General Theory of Dynamical Systems and other areas of Physics. After a review of the basics of self-similarity, this talk introduces the so-called 'Critical Phenomena in Gravitational Collapse' discovered by Choptuik during numerical simulations of the process of formation of a very small black hole. We present the main ideas and results, the current model of the problem and the most important open questions.