Dimensional Dependence of Black Hole Formation in Self-Similar Collapse of Scalar Field

TL;DR

This paper investigates how increasing the number of dimensions influences black hole formation in scalar field collapse, revealing that higher dimensions favor black hole formation while quantum effects diminish.

Contribution

It provides a detailed analysis of classical and quantum scalar field collapse in higher dimensions, highlighting the dimensional dependence of black hole formation and quantum gravity effects.

Findings

Higher dimensions enlarge the initial data space for black hole formation.

Quantum gravity effects decrease as the number of dimensions increases.

Black hole formation is more likely in higher-dimensional scenarios.

Abstract

We study classical and quantum self-similar collapses of a massless scalar field in higher dimensions, and examine how the increase in the number of dimensions affects gravitational collapse and black hole formation. Higher dimensions seem to favor formation of black hole rather than other final states, in that the initial data space for black hole formation enlarges as dimension increases. On the other hand, the quantum gravity effect on the collapse lessens as dimension increases. We also discuss the gravitational collapse in a brane world with large but compact extra dimensions.