DIMENSIONALITY, SELF-SIMILARITY, AND CRITICAL COLLAPSE

摘要

Critical phenomena in gravitational collapse have attracted much attention since the pioneering work of Choptuik l. From the known results obtained so far, the following emerges 2: Critical collapse in general can be divided into two different types according to whether or not the black hole mass near the threshold of the black hole formation takes the form MBH OC (P-P*)^, where P characterizes the strength of the initial data in such a way that when P > P* a black hole will be formed, and when P < P* no black hole will be formed. When the mass of black holes does not take the above form, the collapse is referred to as Type I collapse, while it does, it is referred to as Type II collapse. In Type I collapse, the critical solutions found so far have neither continuous self-similarity (CSS) nor discrete self-similarity (DSS), while in Type II collapse the critical solutions have either CSS or DSS.