Self-Similar Collapse of Scalar Field in Higher Dimensions

TL;DR

This paper constructs and analyzes self-similar solutions for scalar field gravitational collapse in higher dimensions, providing insights into their behavior and generalizing solutions across different couplings.

Contribution

It introduces a method to generate self-similar collapse solutions in higher dimensions and generalizes scalar field couplings, expanding understanding of gravitational collapse models.

Findings

Self-similar solutions constructed for scalar field collapse in n dimensions.

Qualitative analysis of solution behavior provided.

Closed-form solutions derived where possible.

Abstract

This paper constructs continuously self-similar solution of a spherically symmetric gravitational collapse of a scalar field in n dimensions. The qualitative behavior of these solutions is explained, and closed-form answers are provided where possible. Equivalence of scalar field couplings is used to show a way to generalize minimally coupled scalar field solutions to the model with general coupling.