Higher Dimensional Self-similar Spherical Symmetric Scalar Field Collapse and Critical Phenomena in Black Hole Formation

Abstract

The higher dimensional spherical symmetric scalar field collapse problem is studied in the light of the critical behavior in black hole formation. To make the analysis tractable, the self similarity is also imposed. By giving a new view to the self-similar scalar field collapse problem, we give the general formula for the critical exponents in higher dimensions. In the process, the explanation of the universality of the critical phenomena is given within the self-similar context.