1999•Classical and Quantum GravityOpen access

Self-similar collapse of a scalar field in higher dimensions

Andrei V. Frolov

Abstract

This paper constructs the continuously self-similar solution of the spherically symmetric gravitational collapse of a scalar field in n dimensions. The qualitative behaviour 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.

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Key concepts: Physics, Scalar field, Scalar theories of gravitation, Scalar (mathematics), Gravitation, Gravitational collapse, Equivalence (formal languages), Mathematical physics