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

TL;DR

This paper investigates the critical behavior of black hole formation through self-similar scalar field collapse in higher dimensions, providing a general formula for critical exponents and insights into the universality of these phenomena.

Contribution

It introduces a new framework for analyzing higher-dimensional self-similar scalar field collapse and derives a general formula for critical exponents.

Findings

Derived a general formula for critical exponents in higher dimensions

Provided explanations for the universality of critical phenomena

Analyzed the role of self-similarity 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.