Self-Similar Collapse of Scalar Field in Higher Dimensions

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.

RevTex 3.1, 15 pages, 3 figures; references added

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