HIGHER-DIMENSIONAL SELF-SIMILAR SPHERICAL SYMMETRICAL SCALAR FIELD COLLAPSE AND CRITICAL PHENOMENA IN BLACK-HOLE FORMATION

The higher dimensional spherical symmetric scalar field collapse probl em is studied in the light of the critical behavior in black-hole form ation. To make the analysis tractable, self-similarity is also imposed . By giving a new view on the self-similar scalar field collapse probl em, we give the general formula for the critical exponents in higher d imensions. Tn the process, the explanation of the universality of the critical phenomena is given within the self-similar context.